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Simplifying -2(x + -10) = -1(1 + 5x) Reorder the terms: -2(-10 + x) = -1(1 + 5x) (-10 * -2 + x * -2) = -1(1 + 5x) (20 + -2x) = -1(1 + 5x) 20 + -2x = (1 * -1 + 5x * -1) 20 + -2x = (-1 + -5x) Solving 20 + -2x = -1 + -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 + -2x + 5x = -1 + -5x + 5x Combine like terms: -2x + 5x = 3x 20 + 3x = -1 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 3x = -1 + 0 20 + 3x = -1 Add '-20' to each side of the equation. 20 + -20 + 3x = -1 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = -1 + -20 3x = -1 + -20 Combine like terms: -1 + -20 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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