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Simplifying (x + 1) + -1(x + -9) = 2(5x + -6) + -8 Reorder the terms: (1 + x) + -1(x + -9) = 2(5x + -6) + -8 Remove parenthesis around (1 + x) 1 + x + -1(x + -9) = 2(5x + -6) + -8 Reorder the terms: 1 + x + -1(-9 + x) = 2(5x + -6) + -8 1 + x + (-9 * -1 + x * -1) = 2(5x + -6) + -8 1 + x + (9 + -1x) = 2(5x + -6) + -8 Reorder the terms: 1 + 9 + x + -1x = 2(5x + -6) + -8 Combine like terms: 1 + 9 = 10 10 + x + -1x = 2(5x + -6) + -8 Combine like terms: x + -1x = 0 10 + 0 = 2(5x + -6) + -8 10 = 2(5x + -6) + -8 Reorder the terms: 10 = 2(-6 + 5x) + -8 10 = (-6 * 2 + 5x * 2) + -8 10 = (-12 + 10x) + -8 Reorder the terms: 10 = -12 + -8 + 10x Combine like terms: -12 + -8 = -20 10 = -20 + 10x Solving 10 = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + -10x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -10x = -20 + 0 10 + -10x = -20 Add '-10' to each side of the equation. 10 + -10 + -10x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = -20 + -10 -10x = -20 + -10 Combine like terms: -20 + -10 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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