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Simplifying 5(2x + 3) = 5(x + 6) Reorder the terms: 5(3 + 2x) = 5(x + 6) (3 * 5 + 2x * 5) = 5(x + 6) (15 + 10x) = 5(x + 6) Reorder the terms: 15 + 10x = 5(6 + x) 15 + 10x = (6 * 5 + x * 5) 15 + 10x = (30 + 5x) Solving 15 + 10x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 10x + -5x = 30 + 5x + -5x Combine like terms: 10x + -5x = 5x 15 + 5x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 5x = 30 + 0 15 + 5x = 30 Add '-15' to each side of the equation. 15 + -15 + 5x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 30 + -15 5x = 30 + -15 Combine like terms: 30 + -15 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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