解:(1)5.4×0.7-0.8x=1.06,
3.78-0.8x=1.06,
3.78-0.8x+0.8x=1.06+0.8x,
1.06+0.8x=3.78,
1.06+0.8x-1.06=3.78-1.06,
0.8x=2.72,
8x÷0.8=2.72÷0.8,
x=3.4;
(2)
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:x=
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:
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,
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x=
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×
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,
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x=
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,
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x×5=
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×5,
x=
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.
分析:(1)先求出5.4×0.7=3.78,原式变为3.78-0.8x=1.06,根据等式的性质,两边同加上0.8x,变为1.06+0.8x=3.78,两边同减去1.06,再同除以0.8即可;
(2)先根据比例的基本性质改写成
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x=
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×
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,再根据等式的性质,两边同乘5即可.
点评:此题考查了根据等式的性质解方程,即等式两边同加、同减、同乘或同除以一个数(0除外),等式的左右两边仍相等;注意“=”号上下要对齐.