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Simplifying 4(x + -6) + -2x = -2(1 + -2x) Reorder the terms: 4(-6 + x) + -2x = -2(1 + -2x) (-6 * 4 + x * 4) + -2x = -2(1 + -2x) (-24 + 4x) + -2x = -2(1 + -2x) Combine like terms: 4x + -2x = 2x -24 + 2x = -2(1 + -2x) -24 + 2x = (1 * -2 + -2x * -2) -24 + 2x = (-2 + 4x) Solving -24 + 2x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 2x + -4x = -2 + 4x + -4x Combine like terms: 2x + -4x = -2x -24 + -2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 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 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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