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Simplifying -1(2x + 4) = -4(6 + -2x) Reorder the terms: -1(4 + 2x) = -4(6 + -2x) (4 * -1 + 2x * -1) = -4(6 + -2x) (-4 + -2x) = -4(6 + -2x) -4 + -2x = (6 * -4 + -2x * -4) -4 + -2x = (-24 + 8x) Solving -4 + -2x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + -2x + -8x = -24 + 8x + -8x Combine like terms: -2x + -8x = -10x -4 + -10x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -10x = -24 + 0 -4 + -10x = -24 Add '4' to each side of the equation. -4 + 4 + -10x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = -24 + 4 -10x = -24 + 4 Combine like terms: -24 + 4 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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