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Simplifying 2(x + -1) + 10 = 9(1 + x) + -5x Reorder the terms: 2(-1 + x) + 10 = 9(1 + x) + -5x (-1 * 2 + x * 2) + 10 = 9(1 + x) + -5x (-2 + 2x) + 10 = 9(1 + x) + -5x Reorder the terms: -2 + 10 + 2x = 9(1 + x) + -5x Combine like terms: -2 + 10 = 8 8 + 2x = 9(1 + x) + -5x 8 + 2x = (1 * 9 + x * 9) + -5x 8 + 2x = (9 + 9x) + -5x Combine like terms: 9x + -5x = 4x 8 + 2x = 9 + 4x Solving 8 + 2x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 2x + -4x = 9 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = 9 + 0 8 + -2x = 9 Add '-8' to each side of the equation. 8 + -8 + -2x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 9 + -8 -2x = 9 + -8 Combine like terms: 9 + -8 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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