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Simplifying 2(2x + 5) + -1(4x + -9) = 3(3 + -4x) Reorder the terms: 2(5 + 2x) + -1(4x + -9) = 3(3 + -4x) (5 * 2 + 2x * 2) + -1(4x + -9) = 3(3 + -4x) (10 + 4x) + -1(4x + -9) = 3(3 + -4x) Reorder the terms: 10 + 4x + -1(-9 + 4x) = 3(3 + -4x) 10 + 4x + (-9 * -1 + 4x * -1) = 3(3 + -4x) 10 + 4x + (9 + -4x) = 3(3 + -4x) Reorder the terms: 10 + 9 + 4x + -4x = 3(3 + -4x) Combine like terms: 10 + 9 = 19 19 + 4x + -4x = 3(3 + -4x) Combine like terms: 4x + -4x = 0 19 + 0 = 3(3 + -4x) 19 = 3(3 + -4x) 19 = (3 * 3 + -4x * 3) 19 = (9 + -12x) Solving 19 = 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. 19 + 12x = 9 + -12x + 12x Combine like terms: -12x + 12x = 0 19 + 12x = 9 + 0 19 + 12x = 9 Add '-19' to each side of the equation. 19 + -19 + 12x = 9 + -19 Combine like terms: 19 + -19 = 0 0 + 12x = 9 + -19 12x = 9 + -19 Combine like terms: 9 + -19 = -10 12x = -10 Divide each side by '12'. x = -0.8333333333 Simplifying x = -0.8333333333
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