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Simplifying -2(x + -20) = 10 + -10(1 + x) Reorder the terms: -2(-20 + x) = 10 + -10(1 + x) (-20 * -2 + x * -2) = 10 + -10(1 + x) (40 + -2x) = 10 + -10(1 + x) 40 + -2x = 10 + (1 * -10 + x * -10) 40 + -2x = 10 + (-10 + -10x) Combine like terms: 10 + -10 = 0 40 + -2x = 0 + -10x 40 + -2x = -10x Solving 40 + -2x = -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. 40 + -2x + 10x = -10x + 10x Combine like terms: -2x + 10x = 8x 40 + 8x = -10x + 10x Combine like terms: -10x + 10x = 0 40 + 8x = 0 Add '-40' to each side of the equation. 40 + -40 + 8x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 0 + -40 8x = 0 + -40 Combine like terms: 0 + -40 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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