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Simplifying 5(2x + 3) = 3(5x + 9) Reorder the terms: 5(3 + 2x) = 3(5x + 9) (3 * 5 + 2x * 5) = 3(5x + 9) (15 + 10x) = 3(5x + 9) Reorder the terms: 15 + 10x = 3(9 + 5x) 15 + 10x = (9 * 3 + 5x * 3) 15 + 10x = (27 + 15x) Solving 15 + 10x = 27 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 15 + 10x + -15x = 27 + 15x + -15x Combine like terms: 10x + -15x = -5x 15 + -5x = 27 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + -5x = 27 + 0 15 + -5x = 27 Add '-15' to each side of the equation. 15 + -15 + -5x = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 27 + -15 -5x = 27 + -15 Combine like terms: 27 + -15 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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