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Simplifying -1(2x + -8) + -3x = 4(x + 8) + -1x Reorder the terms: -1(-8 + 2x) + -3x = 4(x + 8) + -1x (-8 * -1 + 2x * -1) + -3x = 4(x + 8) + -1x (8 + -2x) + -3x = 4(x + 8) + -1x Combine like terms: -2x + -3x = -5x 8 + -5x = 4(x + 8) + -1x Reorder the terms: 8 + -5x = 4(8 + x) + -1x 8 + -5x = (8 * 4 + x * 4) + -1x 8 + -5x = (32 + 4x) + -1x Combine like terms: 4x + -1x = 3x 8 + -5x = 32 + 3x Solving 8 + -5x = 32 + 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 + -5x + -3x = 32 + 3x + -3x Combine like terms: -5x + -3x = -8x 8 + -8x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -8x = 32 + 0 8 + -8x = 32 Add '-8' to each side of the equation. 8 + -8 + -8x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 32 + -8 -8x = 32 + -8 Combine like terms: 32 + -8 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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