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Simplifying 24 + -1(3x + 12) = 6(2x + 12) Reorder the terms: 24 + -1(12 + 3x) = 6(2x + 12) 24 + (12 * -1 + 3x * -1) = 6(2x + 12) 24 + (-12 + -3x) = 6(2x + 12) Combine like terms: 24 + -12 = 12 12 + -3x = 6(2x + 12) Reorder the terms: 12 + -3x = 6(12 + 2x) 12 + -3x = (12 * 6 + 2x * 6) 12 + -3x = (72 + 12x) Solving 12 + -3x = 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 + -3x + -12x = 72 + 12x + -12x Combine like terms: -3x + -12x = -15x 12 + -15x = 72 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -15x = 72 + 0 12 + -15x = 72 Add '-12' to each side of the equation. 12 + -12 + -15x = 72 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = 72 + -12 -15x = 72 + -12 Combine like terms: 72 + -12 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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