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Simplifying -2x + 12 = -3(2x + 8) Reorder the terms: 12 + -2x = -3(2x + 8) Reorder the terms: 12 + -2x = -3(8 + 2x) 12 + -2x = (8 * -3 + 2x * -3) 12 + -2x = (-24 + -6x) Solving 12 + -2x = -24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + -2x + 6x = -24 + -6x + 6x Combine like terms: -2x + 6x = 4x 12 + 4x = -24 + -6x + 6x Combine like terms: -6x + 6x = 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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