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Simplifying 5(x + 3) = 2(3x + 12) Reorder the terms: 5(3 + x) = 2(3x + 12) (3 * 5 + x * 5) = 2(3x + 12) (15 + 5x) = 2(3x + 12) Reorder the terms: 15 + 5x = 2(12 + 3x) 15 + 5x = (12 * 2 + 3x * 2) 15 + 5x = (24 + 6x) Solving 15 + 5x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 5x + -6x = 24 + 6x + -6x Combine like terms: 5x + -6x = -1x 15 + -1x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -1x = 24 + 0 15 + -1x = 24 Add '-15' to each side of the equation. 15 + -15 + -1x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 24 + -15 -1x = 24 + -15 Combine like terms: 24 + -15 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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