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Simplifying -1(4 + 4x) + -4 = -2(x + 7) + -8 (4 * -1 + 4x * -1) + -4 = -2(x + 7) + -8 (-4 + -4x) + -4 = -2(x + 7) + -8 Reorder the terms: -4 + -4 + -4x = -2(x + 7) + -8 Combine like terms: -4 + -4 = -8 -8 + -4x = -2(x + 7) + -8 Reorder the terms: -8 + -4x = -2(7 + x) + -8 -8 + -4x = (7 * -2 + x * -2) + -8 -8 + -4x = (-14 + -2x) + -8 Reorder the terms: -8 + -4x = -14 + -8 + -2x Combine like terms: -14 + -8 = -22 -8 + -4x = -22 + -2x Solving -8 + -4x = -22 + -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. -8 + -4x + 2x = -22 + -2x + 2x Combine like terms: -4x + 2x = -2x -8 + -2x = -22 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -2x = -22 + 0 -8 + -2x = -22 Add '8' to each side of the equation. -8 + 8 + -2x = -22 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -22 + 8 -2x = -22 + 8 Combine like terms: -22 + 8 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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