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Simplifying 2(2 + 5x) = 9(x + -1) (2 * 2 + 5x * 2) = 9(x + -1) (4 + 10x) = 9(x + -1) Reorder the terms: 4 + 10x = 9(-1 + x) 4 + 10x = (-1 * 9 + x * 9) 4 + 10x = (-9 + 9x) Solving 4 + 10x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 10x + -9x = -9 + 9x + -9x Combine like terms: 10x + -9x = 1x 4 + 1x = -9 + 9x + -9x Combine like terms: 9x + -9x = 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 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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