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Simplifying 2(x + 9) = 3(x + -2) Reorder the terms: 2(9 + x) = 3(x + -2) (9 * 2 + x * 2) = 3(x + -2) (18 + 2x) = 3(x + -2) Reorder the terms: 18 + 2x = 3(-2 + x) 18 + 2x = (-2 * 3 + x * 3) 18 + 2x = (-6 + 3x) Solving 18 + 2x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 2x + -3x = -6 + 3x + -3x Combine like terms: 2x + -3x = -1x 18 + -1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -1x = -6 + 0 18 + -1x = -6 Add '-18' to each side of the equation. 18 + -18 + -1x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -6 + -18 -1x = -6 + -18 Combine like terms: -6 + -18 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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