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Simplifying x + -2(x + -2) = 4(x + 6) Reorder the terms: x + -2(-2 + x) = 4(x + 6) x + (-2 * -2 + x * -2) = 4(x + 6) x + (4 + -2x) = 4(x + 6) Reorder the terms: 4 + x + -2x = 4(x + 6) Combine like terms: x + -2x = -1x 4 + -1x = 4(x + 6) Reorder the terms: 4 + -1x = 4(6 + x) 4 + -1x = (6 * 4 + x * 4) 4 + -1x = (24 + 4x) Solving 4 + -1x = 24 + 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. 4 + -1x + -4x = 24 + 4x + -4x Combine like terms: -1x + -4x = -5x 4 + -5x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -5x = 24 + 0 4 + -5x = 24 Add '-4' to each side of the equation. 4 + -4 + -5x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 24 + -4 -5x = 24 + -4 Combine like terms: 24 + -4 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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