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Simplifying 5 + 2(5x + -10) = 3(10 + 5x) Reorder the terms: 5 + 2(-10 + 5x) = 3(10 + 5x) 5 + (-10 * 2 + 5x * 2) = 3(10 + 5x) 5 + (-20 + 10x) = 3(10 + 5x) Combine like terms: 5 + -20 = -15 -15 + 10x = 3(10 + 5x) -15 + 10x = (10 * 3 + 5x * 3) -15 + 10x = (30 + 15x) Solving -15 + 10x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -15 + 10x + -15x = 30 + 15x + -15x Combine like terms: 10x + -15x = -5x -15 + -5x = 30 + 15x + -15x Combine like terms: 15x + -15x = 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 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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