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Simplifying -1(8 + -3x) + -4x = 5(x + -4) + -8x (8 * -1 + -3x * -1) + -4x = 5(x + -4) + -8x (-8 + 3x) + -4x = 5(x + -4) + -8x Combine like terms: 3x + -4x = -1x -8 + -1x = 5(x + -4) + -8x Reorder the terms: -8 + -1x = 5(-4 + x) + -8x -8 + -1x = (-4 * 5 + x * 5) + -8x -8 + -1x = (-20 + 5x) + -8x Combine like terms: 5x + -8x = -3x -8 + -1x = -20 + -3x Solving -8 + -1x = -20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + -1x + 3x = -20 + -3x + 3x Combine like terms: -1x + 3x = 2x -8 + 2x = -20 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 2x = -20 + 0 -8 + 2x = -20 Add '8' to each side of the equation. -8 + 8 + 2x = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -20 + 8 2x = -20 + 8 Combine like terms: -20 + 8 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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