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Simplifying 5(x + -10) = 10(x + 5) Reorder the terms: 5(-10 + x) = 10(x + 5) (-10 * 5 + x * 5) = 10(x + 5) (-50 + 5x) = 10(x + 5) Reorder the terms: -50 + 5x = 10(5 + x) -50 + 5x = (5 * 10 + x * 10) -50 + 5x = (50 + 10x) Solving -50 + 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. -50 + 5x + -10x = 50 + 10x + -10x Combine like terms: 5x + -10x = -5x -50 + -5x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -50 + -5x = 50 + 0 -50 + -5x = 50 Add '50' to each side of the equation. -50 + 50 + -5x = 50 + 50 Combine like terms: -50 + 50 = 0 0 + -5x = 50 + 50 -5x = 50 + 50 Combine like terms: 50 + 50 = 100 -5x = 100 Divide each side by '-5'. x = -20 Simplifying x = -20
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