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Simplifying 7(x + -8) + -8(x + -7) = x + 7 + -1(x + -3) Reorder the terms: 7(-8 + x) + -8(x + -7) = x + 7 + -1(x + -3) (-8 * 7 + x * 7) + -8(x + -7) = x + 7 + -1(x + -3) (-56 + 7x) + -8(x + -7) = x + 7 + -1(x + -3) Reorder the terms: -56 + 7x + -8(-7 + x) = x + 7 + -1(x + -3) -56 + 7x + (-7 * -8 + x * -8) = x + 7 + -1(x + -3) -56 + 7x + (56 + -8x) = x + 7 + -1(x + -3) Reorder the terms: -56 + 56 + 7x + -8x = x + 7 + -1(x + -3) Combine like terms: -56 + 56 = 0 0 + 7x + -8x = x + 7 + -1(x + -3) 7x + -8x = x + 7 + -1(x + -3) Combine like terms: 7x + -8x = -1x -1x = x + 7 + -1(x + -3) Reorder the terms: -1x = x + 7 + -1(-3 + x) -1x = x + 7 + (-3 * -1 + x * -1) -1x = x + 7 + (3 + -1x) Reorder the terms: -1x = 7 + 3 + x + -1x Combine like terms: 7 + 3 = 10 -1x = 10 + x + -1x Combine like terms: x + -1x = 0 -1x = 10 + 0 -1x = 10 Solving -1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-1'. x = -10 Simplifying x = -10
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