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Simplifying -1(x + -4) + -5x = 4(-8 + -3x) Reorder the terms: -1(-4 + x) + -5x = 4(-8 + -3x) (-4 * -1 + x * -1) + -5x = 4(-8 + -3x) (4 + -1x) + -5x = 4(-8 + -3x) Combine like terms: -1x + -5x = -6x 4 + -6x = 4(-8 + -3x) 4 + -6x = (-8 * 4 + -3x * 4) 4 + -6x = (-32 + -12x) Solving 4 + -6x = -32 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 4 + -6x + 12x = -32 + -12x + 12x Combine like terms: -6x + 12x = 6x 4 + 6x = -32 + -12x + 12x Combine like terms: -12x + 12x = 0 4 + 6x = -32 + 0 4 + 6x = -32 Add '-4' to each side of the equation. 4 + -4 + 6x = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -32 + -4 6x = -32 + -4 Combine like terms: -32 + -4 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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