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Simplifying -2 + 5(x + 2) = -1(1 + -8x) Reorder the terms: -2 + 5(2 + x) = -1(1 + -8x) -2 + (2 * 5 + x * 5) = -1(1 + -8x) -2 + (10 + 5x) = -1(1 + -8x) Combine like terms: -2 + 10 = 8 8 + 5x = -1(1 + -8x) 8 + 5x = (1 * -1 + -8x * -1) 8 + 5x = (-1 + 8x) Solving 8 + 5x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 5x + -8x = -1 + 8x + -8x Combine like terms: 5x + -8x = -3x 8 + -3x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -3x = -1 + 0 8 + -3x = -1 Add '-8' to each side of the equation. 8 + -8 + -3x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -1 + -8 -3x = -1 + -8 Combine like terms: -1 + -8 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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