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Simplifying 7(x + -8) + -8(x + -1z) = x + 7 + -1(x + -3) Reorder the terms: 7(-8 + x) + -8(x + -1z) = x + 7 + -1(x + -3) (-8 * 7 + x * 7) + -8(x + -1z) = x + 7 + -1(x + -3) (-56 + 7x) + -8(x + -1z) = x + 7 + -1(x + -3) -56 + 7x + (x * -8 + -1z * -8) = x + 7 + -1(x + -3) -56 + 7x + (-8x + 8z) = x + 7 + -1(x + -3) Combine like terms: 7x + -8x = -1x -56 + -1x + 8z = x + 7 + -1(x + -3) Reorder the terms: -56 + -1x + 8z = x + 7 + -1(-3 + x) -56 + -1x + 8z = x + 7 + (-3 * -1 + x * -1) -56 + -1x + 8z = x + 7 + (3 + -1x) Reorder the terms: -56 + -1x + 8z = 7 + 3 + x + -1x Combine like terms: 7 + 3 = 10 -56 + -1x + 8z = 10 + x + -1x Combine like terms: x + -1x = 0 -56 + -1x + 8z = 10 + 0 -56 + -1x + 8z = 10 Solving -56 + -1x + 8z = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + -1x + 56 + 8z = 10 + 56 Reorder the terms: -56 + 56 + -1x + 8z = 10 + 56 Combine like terms: -56 + 56 = 0 0 + -1x + 8z = 10 + 56 -1x + 8z = 10 + 56 Combine like terms: 10 + 56 = 66 -1x + 8z = 66 Add '-8z' to each side of the equation. -1x + 8z + -8z = 66 + -8z Combine like terms: 8z + -8z = 0 -1x + 0 = 66 + -8z -1x = 66 + -8z Divide each side by '-1'. x = -66 + 8z Simplifying x = -66 + 8z
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