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Simplifying 2(2x + 5) + -4x + -9 = 3(3 + -4x) Reorder the terms: 2(5 + 2x) + -4x + -9 = 3(3 + -4x) (5 * 2 + 2x * 2) + -4x + -9 = 3(3 + -4x) (10 + 4x) + -4x + -9 = 3(3 + -4x) Reorder the terms: 10 + -9 + 4x + -4x = 3(3 + -4x) Combine like terms: 10 + -9 = 1 1 + 4x + -4x = 3(3 + -4x) Combine like terms: 4x + -4x = 0 1 + 0 = 3(3 + -4x) 1 = 3(3 + -4x) 1 = (3 * 3 + -4x * 3) 1 = (9 + -12x) Solving 1 = 9 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 1 + 12x = 9 + -12x + 12x Combine like terms: -12x + 12x = 0 1 + 12x = 9 + 0 1 + 12x = 9 Add '-1' to each side of the equation. 1 + -1 + 12x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 9 + -1 12x = 9 + -1 Combine like terms: 9 + -1 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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