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Simplifying 3(2x + 4) = 2(x + -12) Reorder the terms: 3(4 + 2x) = 2(x + -12) (4 * 3 + 2x * 3) = 2(x + -12) (12 + 6x) = 2(x + -12) Reorder the terms: 12 + 6x = 2(-12 + x) 12 + 6x = (-12 * 2 + x * 2) 12 + 6x = (-24 + 2x) Solving 12 + 6x = -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. 12 + 6x + -2x = -24 + 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = -24 + 2x + -2x Combine like terms: 2x + -2x = 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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