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Simplifying 3(x + 9) = 5(x + -3) Reorder the terms: 3(9 + x) = 5(x + -3) (9 * 3 + x * 3) = 5(x + -3) (27 + 3x) = 5(x + -3) Reorder the terms: 27 + 3x = 5(-3 + x) 27 + 3x = (-3 * 5 + x * 5) 27 + 3x = (-15 + 5x) Solving 27 + 3x = -15 + 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. 27 + 3x + -5x = -15 + 5x + -5x Combine like terms: 3x + -5x = -2x 27 + -2x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -2x = -15 + 0 27 + -2x = -15 Add '-27' to each side of the equation. 27 + -27 + -2x = -15 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = -15 + -27 -2x = -15 + -27 Combine like terms: -15 + -27 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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