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Simplifying -4(x + 6) = 2(1 + -1x) Reorder the terms: -4(6 + x) = 2(1 + -1x) (6 * -4 + x * -4) = 2(1 + -1x) (-24 + -4x) = 2(1 + -1x) -24 + -4x = (1 * 2 + -1x * 2) -24 + -4x = (2 + -2x) Solving -24 + -4x = 2 + -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. -24 + -4x + 2x = 2 + -2x + 2x Combine like terms: -4x + 2x = -2x -24 + -2x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + -2x = 2 + 0 -24 + -2x = 2 Add '24' to each side of the equation. -24 + 24 + -2x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 2 + 24 -2x = 2 + 24 Combine like terms: 2 + 24 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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