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Simplifying -1(x + -2) + -1(3x + 1) = 8(x + -2) Reorder the terms: -1(-2 + x) + -1(3x + 1) = 8(x + -2) (-2 * -1 + x * -1) + -1(3x + 1) = 8(x + -2) (2 + -1x) + -1(3x + 1) = 8(x + -2) Reorder the terms: 2 + -1x + -1(1 + 3x) = 8(x + -2) 2 + -1x + (1 * -1 + 3x * -1) = 8(x + -2) 2 + -1x + (-1 + -3x) = 8(x + -2) Reorder the terms: 2 + -1 + -1x + -3x = 8(x + -2) Combine like terms: 2 + -1 = 1 1 + -1x + -3x = 8(x + -2) Combine like terms: -1x + -3x = -4x 1 + -4x = 8(x + -2) Reorder the terms: 1 + -4x = 8(-2 + x) 1 + -4x = (-2 * 8 + x * 8) 1 + -4x = (-16 + 8x) Solving 1 + -4x = -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. 1 + -4x + -8x = -16 + 8x + -8x Combine like terms: -4x + -8x = -12x 1 + -12x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -12x = -16 + 0 1 + -12x = -16 Add '-1' to each side of the equation. 1 + -1 + -12x = -16 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = -16 + -1 -12x = -16 + -1 Combine like terms: -16 + -1 = -17 -12x = -17 Divide each side by '-12'. x = 1.416666667 Simplifying x = 1.416666667
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