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Multiply what's inside the brackets:
1.2x + .6 - .4x + .8 = 1
1.2x - .4x = 1 - .6 - .8
.8x = -.4
x = .-4/.8
x = -.5
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Check, substitute -.5 for x in the original equation:
.6[2(-.5)+1] - .4[-.5 - 2] = 1
.6(-1+1) - .4(-2.5) = 1
.6(0) + 1 = 1