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Simplifying -5x + -1(8x + -4) = 8(-2x + -4) Reorder the terms: -5x + -1(-4 + 8x) = 8(-2x + -4) -5x + (-4 * -1 + 8x * -1) = 8(-2x + -4) -5x + (4 + -8x) = 8(-2x + -4) Reorder the terms: 4 + -5x + -8x = 8(-2x + -4) Combine like terms: -5x + -8x = -13x 4 + -13x = 8(-2x + -4) Reorder the terms: 4 + -13x = 8(-4 + -2x) 4 + -13x = (-4 * 8 + -2x * 8) 4 + -13x = (-32 + -16x) Solving 4 + -13x = -32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 4 + -13x + 16x = -32 + -16x + 16x Combine like terms: -13x + 16x = 3x 4 + 3x = -32 + -16x + 16x Combine like terms: -16x + 16x = 0 4 + 3x = -32 + 0 4 + 3x = -32 Add '-4' to each side of the equation. 4 + -4 + 3x = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -32 + -4 3x = -32 + -4 Combine like terms: -32 + -4 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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