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Simplifying 3(3 + 2x) = 5(x + -2) (3 * 3 + 2x * 3) = 5(x + -2) (9 + 6x) = 5(x + -2) Reorder the terms: 9 + 6x = 5(-2 + x) 9 + 6x = (-2 * 5 + x * 5) 9 + 6x = (-10 + 5x) Solving 9 + 6x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 6x + -5x = -10 + 5x + -5x Combine like terms: 6x + -5x = 1x 9 + 1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 1x = -10 + 0 9 + 1x = -10 Add '-9' to each side of the equation. 9 + -9 + 1x = -10 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -10 + -9 1x = -10 + -9 Combine like terms: -10 + -9 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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