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Simplifying 5(x + 15) = 10(x + 5) Reorder the terms: 5(15 + x) = 10(x + 5) (15 * 5 + x * 5) = 10(x + 5) (75 + 5x) = 10(x + 5) Reorder the terms: 75 + 5x = 10(5 + x) 75 + 5x = (5 * 10 + x * 10) 75 + 5x = (50 + 10x) Solving 75 + 5x = 50 + 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. 75 + 5x + -10x = 50 + 10x + -10x Combine like terms: 5x + -10x = -5x 75 + -5x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 75 + -5x = 50 + 0 75 + -5x = 50 Add '-75' to each side of the equation. 75 + -75 + -5x = 50 + -75 Combine like terms: 75 + -75 = 0 0 + -5x = 50 + -75 -5x = 50 + -75 Combine like terms: 50 + -75 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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