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Simplifying 3(4x + 8) = 9x + 12 Reorder the terms: 3(8 + 4x) = 9x + 12 (8 * 3 + 4x * 3) = 9x + 12 (24 + 12x) = 9x + 12 Reorder the terms: 24 + 12x = 12 + 9x Solving 24 + 12x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + 12x + -9x = 12 + 9x + -9x Combine like terms: 12x + -9x = 3x 24 + 3x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + 3x = 12 + 0 24 + 3x = 12 Add '-24' to each side of the equation. 24 + -24 + 3x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 12 + -24 3x = 12 + -24 Combine like terms: 12 + -24 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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