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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 = 3x 9 + 3x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + 3x = 18 + 0 9 + 3x = 18 Add '-9' to each side of the equation. 9 + -9 + 3x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 18 + -9 3x = 18 + -9 Combine like terms: 18 + -9 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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