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Simplifying 10(x + 5) = 5(x + 17) Reorder the terms: 10(5 + x) = 5(x + 17) (5 * 10 + x * 10) = 5(x + 17) (50 + 10x) = 5(x + 17) Reorder the terms: 50 + 10x = 5(17 + x) 50 + 10x = (17 * 5 + x * 5) 50 + 10x = (85 + 5x) Solving 50 + 10x = 85 + 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. 50 + 10x + -5x = 85 + 5x + -5x Combine like terms: 10x + -5x = 5x 50 + 5x = 85 + 5x + -5x Combine like terms: 5x + -5x = 0 50 + 5x = 85 + 0 50 + 5x = 85 Add '-50' to each side of the equation. 50 + -50 + 5x = 85 + -50 Combine like terms: 50 + -50 = 0 0 + 5x = 85 + -50 5x = 85 + -50 Combine like terms: 85 + -50 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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