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Simplifying 5(x + 2) = 10(x + -2) Reorder the terms: 5(2 + x) = 10(x + -2) (2 * 5 + x * 5) = 10(x + -2) (10 + 5x) = 10(x + -2) Reorder the terms: 10 + 5x = 10(-2 + x) 10 + 5x = (-2 * 10 + x * 10) 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 = -5x 10 + -5x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -5x = -20 + 0 10 + -5x = -20 Add '-10' to each side of the equation. 10 + -10 + -5x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -20 + -10 -5x = -20 + -10 Combine like terms: -20 + -10 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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