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Simplifying -1(4 + -1x) = -12(x + 7) (4 * -1 + -1x * -1) = -12(x + 7) (-4 + 1x) = -12(x + 7) Reorder the terms: -4 + 1x = -12(7 + x) -4 + 1x = (7 * -12 + x * -12) -4 + 1x = (-84 + -12x) Solving -4 + 1x = -84 + -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 + 1x + 12x = -84 + -12x + 12x Combine like terms: 1x + 12x = 13x -4 + 13x = -84 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 13x = -84 + 0 -4 + 13x = -84 Add '4' to each side of the equation. -4 + 4 + 13x = -84 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = -84 + 4 13x = -84 + 4 Combine like terms: -84 + 4 = -80 13x = -80 Divide each side by '13'. x = -6.153846154 Simplifying x = -6.153846154
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