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Simplifying 3(4x + 3) = 9(-1x + 2) Reorder the terms: 3(3 + 4x) = 9(-1x + 2) (3 * 3 + 4x * 3) = 9(-1x + 2) (9 + 12x) = 9(-1x + 2) Reorder the terms: 9 + 12x = 9(2 + -1x) 9 + 12x = (2 * 9 + -1x * 9) 9 + 12x = (18 + -9x) Solving 9 + 12x = 18 + -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. 9 + 12x + 9x = 18 + -9x + 9x Combine like terms: 12x + 9x = 21x 9 + 21x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 21x = 18 + 0 9 + 21x = 18 Add '-9' to each side of the equation. 9 + -9 + 21x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 21x = 18 + -9 21x = 18 + -9 Combine like terms: 18 + -9 = 9 21x = 9 Divide each side by '21'. x = 0.4285714286 Simplifying x = 0.4285714286
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