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Simplifying (x + 1) * 2 + -1(x + -1) * 2 = x + 9 Reorder the terms: (1 + x) * 2 + -1(x + -1) * 2 = x + 9 Reorder the terms for easier multiplication: 2(1 + x) + -1(x + -1) * 2 = x + 9 (1 * 2 + x * 2) + -1(x + -1) * 2 = x + 9 (2 + 2x) + -1(x + -1) * 2 = x + 9 Reorder the terms: 2 + 2x + -1(-1 + x) * 2 = x + 9 Reorder the terms for easier multiplication: 2 + 2x + -1 * 2(-1 + x) = x + 9 Multiply -1 * 2 2 + 2x + -2(-1 + x) = x + 9 2 + 2x + (-1 * -2 + x * -2) = x + 9 2 + 2x + (2 + -2x) = x + 9 Reorder the terms: 2 + 2 + 2x + -2x = x + 9 Combine like terms: 2 + 2 = 4 4 + 2x + -2x = x + 9 Combine like terms: 2x + -2x = 0 4 + 0 = x + 9 4 = x + 9 Reorder the terms: 4 = 9 + x Solving 4 = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -1x = 9 + x + -1x Combine like terms: x + -1x = 0 4 + -1x = 9 + 0 4 + -1x = 9 Add '-4' to each side of the equation. 4 + -4 + -1x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 9 + -4 -1x = 9 + -4 Combine like terms: 9 + -4 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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