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Simplifying 10(2 + -1x) = -5(x + 2) (2 * 10 + -1x * 10) = -5(x + 2) (20 + -10x) = -5(x + 2) Reorder the terms: 20 + -10x = -5(2 + x) 20 + -10x = (2 * -5 + x * -5) 20 + -10x = (-10 + -5x) Solving 20 + -10x = -10 + -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. 20 + -10x + 5x = -10 + -5x + 5x Combine like terms: -10x + 5x = -5x 20 + -5x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + -5x = -10 + 0 20 + -5x = -10 Add '-20' to each side of the equation. 20 + -20 + -5x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -10 + -20 -5x = -10 + -20 Combine like terms: -10 + -20 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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