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Simplifying -2(8 + -5x) + -1(1 + -1x) = 4(x + -4) (8 * -2 + -5x * -2) + -1(1 + -1x) = 4(x + -4) (-16 + 10x) + -1(1 + -1x) = 4(x + -4) -16 + 10x + (1 * -1 + -1x * -1) = 4(x + -4) -16 + 10x + (-1 + 1x) = 4(x + -4) Reorder the terms: -16 + -1 + 10x + 1x = 4(x + -4) Combine like terms: -16 + -1 = -17 -17 + 10x + 1x = 4(x + -4) Combine like terms: 10x + 1x = 11x -17 + 11x = 4(x + -4) Reorder the terms: -17 + 11x = 4(-4 + x) -17 + 11x = (-4 * 4 + x * 4) -17 + 11x = (-16 + 4x) Solving -17 + 11x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + 11x + -4x = -16 + 4x + -4x Combine like terms: 11x + -4x = 7x -17 + 7x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 7x = -16 + 0 -17 + 7x = -16 Add '17' to each side of the equation. -17 + 17 + 7x = -16 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = -16 + 17 7x = -16 + 17 Combine like terms: -16 + 17 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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