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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 = 21x 18 + 21x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 18 + 21x = 12 + 0 18 + 21x = 12 Add '-18' to each side of the equation. 18 + -18 + 21x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 21x = 12 + -18 21x = 12 + -18 Combine like terms: 12 + -18 = -6 21x = -6 Divide each side by '21'. x = -0.2857142857 Simplifying x = -0.2857142857
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