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Simplifying 2x + 9(x + -1) = 8(2x + 2) + -5 Reorder the terms: 2x + 9(-1 + x) = 8(2x + 2) + -5 2x + (-1 * 9 + x * 9) = 8(2x + 2) + -5 2x + (-9 + 9x) = 8(2x + 2) + -5 Reorder the terms: -9 + 2x + 9x = 8(2x + 2) + -5 Combine like terms: 2x + 9x = 11x -9 + 11x = 8(2x + 2) + -5 Reorder the terms: -9 + 11x = 8(2 + 2x) + -5 -9 + 11x = (2 * 8 + 2x * 8) + -5 -9 + 11x = (16 + 16x) + -5 Reorder the terms: -9 + 11x = 16 + -5 + 16x Combine like terms: 16 + -5 = 11 -9 + 11x = 11 + 16x Solving -9 + 11x = 11 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -9 + 11x + -16x = 11 + 16x + -16x Combine like terms: 11x + -16x = -5x -9 + -5x = 11 + 16x + -16x Combine like terms: 16x + -16x = 0 -9 + -5x = 11 + 0 -9 + -5x = 11 Add '9' to each side of the equation. -9 + 9 + -5x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 11 + 9 -5x = 11 + 9 Combine like terms: 11 + 9 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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