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Simplifying 3(4x + 6) = 9x + -12 Reorder the terms: 3(6 + 4x) = 9x + -12 (6 * 3 + 4x * 3) = 9x + -12 (18 + 12x) = 9x + -12 Reorder the terms: 18 + 12x = -12 + 9x Solving 18 + 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. 18 + 12x + -9x = -12 + 9x + -9x Combine like terms: 12x + -9x = 3x 18 + 3x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + 3x = -12 + 0 18 + 3x = -12 Add '-18' to each side of the equation. 18 + -18 + 3x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = -12 + -18 3x = -12 + -18 Combine like terms: -12 + -18 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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