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Simplifying -5(x + 2) = 2(5x + 10) Reorder the terms: -5(2 + x) = 2(5x + 10) (2 * -5 + x * -5) = 2(5x + 10) (-10 + -5x) = 2(5x + 10) Reorder the terms: -10 + -5x = 2(10 + 5x) -10 + -5x = (10 * 2 + 5x * 2) -10 + -5x = (20 + 10x) Solving -10 + -5x = 20 + 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. -10 + -5x + -10x = 20 + 10x + -10x Combine like terms: -5x + -10x = -15x -10 + -15x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -15x = 20 + 0 -10 + -15x = 20 Add '10' to each side of the equation. -10 + 10 + -15x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -15x = 20 + 10 -15x = 20 + 10 Combine like terms: 20 + 10 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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