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Simplifying 4(x + -6) = 12x Reorder the terms: 4(-6 + x) = 12x (-6 * 4 + x * 4) = 12x (-24 + 4x) = 12x Solving -24 + 4x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + 4x + -12x = 12x + -12x Combine like terms: 4x + -12x = -8x -24 + -8x = 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -8x = 0 Add '24' to each side of the equation. -24 + 24 + -8x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 0 + 24 -8x = 0 + 24 Combine like terms: 0 + 24 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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