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