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Simplifying -4x + 12 = -4(2x + 6) Reorder the terms: 12 + -4x = -4(2x + 6) Reorder the terms: 12 + -4x = -4(6 + 2x) 12 + -4x = (6 * -4 + 2x * -4) 12 + -4x = (-24 + -8x) Solving 12 + -4x = -24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + -4x + 8x = -24 + -8x + 8x Combine like terms: -4x + 8x = 4x 12 + 4x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 4x = -24 + 0 12 + 4x = -24 Add '-12' to each side of the equation. 12 + -12 + 4x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -24 + -12 4x = -24 + -12 Combine like terms: -24 + -12 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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