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Simplifying 12 + -2(2x + -6) = 4(x + -1) Reorder the terms: 12 + -2(-6 + 2x) = 4(x + -1) 12 + (-6 * -2 + 2x * -2) = 4(x + -1) 12 + (12 + -4x) = 4(x + -1) Combine like terms: 12 + 12 = 24 24 + -4x = 4(x + -1) Reorder the terms: 24 + -4x = 4(-1 + x) 24 + -4x = (-1 * 4 + x * 4) 24 + -4x = (-4 + 4x) Solving 24 + -4x = -4 + 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 + -4x + -4x = -4 + 4x + -4x Combine like terms: -4x + -4x = -8x 24 + -8x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -8x = -4 + 0 24 + -8x = -4 Add '-24' to each side of the equation. 24 + -24 + -8x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = -4 + -24 -8x = -4 + -24 Combine like terms: -4 + -24 = -28 -8x = -28 Divide each side by '-8'. x = 3.5 Simplifying x = 3.5
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