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Simplifying 2(3 + 5x) = 9(x + -2) (3 * 2 + 5x * 2) = 9(x + -2) (6 + 10x) = 9(x + -2) Reorder the terms: 6 + 10x = 9(-2 + x) 6 + 10x = (-2 * 9 + x * 9) 6 + 10x = (-18 + 9x) Solving 6 + 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. 6 + 10x + -9x = -18 + 9x + -9x Combine like terms: 10x + -9x = 1x 6 + 1x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + 1x = -18 + 0 6 + 1x = -18 Add '-6' to each side of the equation. 6 + -6 + 1x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -18 + -6 1x = -18 + -6 Combine like terms: -18 + -6 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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