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Simplifying -4(1 + -4x) + -8x = -2(x + 7) (1 * -4 + -4x * -4) + -8x = -2(x + 7) (-4 + 16x) + -8x = -2(x + 7) Combine like terms: 16x + -8x = 8x -4 + 8x = -2(x + 7) Reorder the terms: -4 + 8x = -2(7 + x) -4 + 8x = (7 * -2 + x * -2) -4 + 8x = (-14 + -2x) Solving -4 + 8x = -14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -4 + 8x + 2x = -14 + -2x + 2x Combine like terms: 8x + 2x = 10x -4 + 10x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 10x = -14 + 0 -4 + 10x = -14 Add '4' to each side of the equation. -4 + 4 + 10x = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = -14 + 4 10x = -14 + 4 Combine like terms: -14 + 4 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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