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