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Simplifying 2(2 + 5x) = 9(x + -2) (2 * 2 + 5x * 2) = 9(x + -2) (4 + 10x) = 9(x + -2) Reorder the terms: 4 + 10x = 9(-2 + x) 4 + 10x = (-2 * 9 + x * 9) 4 + 10x = (-18 + 9x) Solving 4 + 10x = -18 + 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 = -18 + 9x + -9x Combine like terms: 10x + -9x = 1x 4 + 1x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 1x = -18 + 0 4 + 1x = -18 Add '-4' to each side of the equation. 4 + -4 + 1x = -18 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -18 + -4 1x = -18 + -4 Combine like terms: -18 + -4 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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