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