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Simplifying 4(x + -6) = 12 + -2x Reorder the terms: 4(-6 + x) = 12 + -2x (-6 * 4 + x * 4) = 12 + -2x (-24 + 4x) = 12 + -2x Solving -24 + 4x = 12 + -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 = 12 + -2x + 2x Combine like terms: 4x + 2x = 6x -24 + 6x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + 6x = 12 + 0 -24 + 6x = 12 Add '24' to each side of the equation. -24 + 24 + 6x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 12 + 24 6x = 12 + 24 Combine like terms: 12 + 24 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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