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Simplifying 2x + 12 = 3(4x + 24) Reorder the terms: 12 + 2x = 3(4x + 24) Reorder the terms: 12 + 2x = 3(24 + 4x) 12 + 2x = (24 * 3 + 4x * 3) 12 + 2x = (72 + 12x) Solving 12 + 2x = 72 + 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. 12 + 2x + -12x = 72 + 12x + -12x Combine like terms: 2x + -12x = -10x 12 + -10x = 72 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -10x = 72 + 0 12 + -10x = 72 Add '-12' to each side of the equation. 12 + -12 + -10x = 72 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 72 + -12 -10x = 72 + -12 Combine like terms: 72 + -12 = 60 -10x = 60 Divide each side by '-10'. x = -6 Simplifying x = -6
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