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