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Simplifying 3(4x + 3) = -9(x + 2) Reorder the terms: 3(3 + 4x) = -9(x + 2) (3 * 3 + 4x * 3) = -9(x + 2) (9 + 12x) = -9(x + 2) Reorder the terms: 9 + 12x = -9(2 + x) 9 + 12x = (2 * -9 + x * -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 = -27 21x = -27 Divide each side by '21'. x = -1.285714286 Simplifying x = -1.285714286
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