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Simplifying 10(x + 2) + -8x = -1(1 + -5x) Reorder the terms: 10(2 + x) + -8x = -1(1 + -5x) (2 * 10 + x * 10) + -8x = -1(1 + -5x) (20 + 10x) + -8x = -1(1 + -5x) Combine like terms: 10x + -8x = 2x 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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