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Simplifying 2(3x + 5) = 5(2x + 3) Reorder the terms: 2(5 + 3x) = 5(2x + 3) (5 * 2 + 3x * 2) = 5(2x + 3) (10 + 6x) = 5(2x + 3) Reorder the terms: 10 + 6x = 5(3 + 2x) 10 + 6x = (3 * 5 + 2x * 5) 10 + 6x = (15 + 10x) Solving 10 + 6x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + 6x + -10x = 15 + 10x + -10x Combine like terms: 6x + -10x = -4x 10 + -4x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -4x = 15 + 0 10 + -4x = 15 Add '-10' to each side of the equation. 10 + -10 + -4x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 15 + -10 -4x = 15 + -10 Combine like terms: 15 + -10 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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