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Simplifying 5(2x + 3) = 3(2x + 3) Reorder the terms: 5(3 + 2x) = 3(2x + 3) (3 * 5 + 2x * 5) = 3(2x + 3) (15 + 10x) = 3(2x + 3) Reorder the terms: 15 + 10x = 3(3 + 2x) 15 + 10x = (3 * 3 + 2x * 3) 15 + 10x = (9 + 6x) Solving 15 + 10x = 9 + 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 + 10x + -6x = 9 + 6x + -6x Combine like terms: 10x + -6x = 4x 15 + 4x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 4x = 9 + 0 15 + 4x = 9 Add '-15' to each side of the equation. 15 + -15 + 4x = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 9 + -15 4x = 9 + -15 Combine like terms: 9 + -15 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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