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