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Simplifying 5(2x + 3) = 3(3x + 4) Reorder the terms: 5(3 + 2x) = 3(3x + 4) (3 * 5 + 2x * 5) = 3(3x + 4) (15 + 10x) = 3(3x + 4) Reorder the terms: 15 + 10x = 3(4 + 3x) 15 + 10x = (4 * 3 + 3x * 3) 15 + 10x = (12 + 9x) Solving 15 + 10x = 12 + 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. 15 + 10x + -9x = 12 + 9x + -9x Combine like terms: 10x + -9x = 1x 15 + 1x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + 1x = 12 + 0 15 + 1x = 12 Add '-15' to each side of the equation. 15 + -15 + 1x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 12 + -15 1x = 12 + -15 Combine like terms: 12 + -15 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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