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Simplifying (9x + -10) + -10(x + -9) = x + 9 + -1(x + -7) Reorder the terms: (-10 + 9x) + -10(x + -9) = x + 9 + -1(x + -7) Remove parenthesis around (-10 + 9x) -10 + 9x + -10(x + -9) = x + 9 + -1(x + -7) Reorder the terms: -10 + 9x + -10(-9 + x) = x + 9 + -1(x + -7) -10 + 9x + (-9 * -10 + x * -10) = x + 9 + -1(x + -7) -10 + 9x + (90 + -10x) = x + 9 + -1(x + -7) Reorder the terms: -10 + 90 + 9x + -10x = x + 9 + -1(x + -7) Combine like terms: -10 + 90 = 80 80 + 9x + -10x = x + 9 + -1(x + -7) Combine like terms: 9x + -10x = -1x 80 + -1x = x + 9 + -1(x + -7) Reorder the terms: 80 + -1x = x + 9 + -1(-7 + x) 80 + -1x = x + 9 + (-7 * -1 + x * -1) 80 + -1x = x + 9 + (7 + -1x) Reorder the terms: 80 + -1x = 9 + 7 + x + -1x Combine like terms: 9 + 7 = 16 80 + -1x = 16 + x + -1x Combine like terms: x + -1x = 0 80 + -1x = 16 + 0 80 + -1x = 16 Solving 80 + -1x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 16 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 16 + -80 -1x = 16 + -80 Combine like terms: 16 + -80 = -64 -1x = -64 Divide each side by '-1'. x = 64 Simplifying x = 64
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