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Simplifying 5(1 + 2x) = 9(x + -2) (1 * 5 + 2x * 5) = 9(x + -2) (5 + 10x) = 9(x + -2) Reorder the terms: 5 + 10x = 9(-2 + x) 5 + 10x = (-2 * 9 + x * 9) 5 + 10x = (-18 + 9x) Solving 5 + 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. 5 + 10x + -9x = -18 + 9x + -9x Combine like terms: 10x + -9x = 1x 5 + 1x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + 1x = -18 + 0 5 + 1x = -18 Add '-5' to each side of the equation. 5 + -5 + 1x = -18 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -18 + -5 1x = -18 + -5 Combine like terms: -18 + -5 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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