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Simplifying -1(-5x + 2) = 8(x + 2) Reorder the terms: -1(2 + -5x) = 8(x + 2) (2 * -1 + -5x * -1) = 8(x + 2) (-2 + 5x) = 8(x + 2) Reorder the terms: -2 + 5x = 8(2 + x) -2 + 5x = (2 * 8 + x * 8) -2 + 5x = (16 + 8x) Solving -2 + 5x = 16 + 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. -2 + 5x + -8x = 16 + 8x + -8x Combine like terms: 5x + -8x = -3x -2 + -3x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -3x = 16 + 0 -2 + -3x = 16 Add '2' to each side of the equation. -2 + 2 + -3x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 16 + 2 -3x = 16 + 2 Combine like terms: 16 + 2 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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