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Simplifying 3(4x + 9) + -1(2x + -8) = 0 Reorder the terms: 3(9 + 4x) + -1(2x + -8) = 0 (9 * 3 + 4x * 3) + -1(2x + -8) = 0 (27 + 12x) + -1(2x + -8) = 0 Reorder the terms: 27 + 12x + -1(-8 + 2x) = 0 27 + 12x + (-8 * -1 + 2x * -1) = 0 27 + 12x + (8 + -2x) = 0 Reorder the terms: 27 + 8 + 12x + -2x = 0 Combine like terms: 27 + 8 = 35 35 + 12x + -2x = 0 Combine like terms: 12x + -2x = 10x 35 + 10x = 0 Solving 35 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 10x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 10x = 0 + -35 10x = 0 + -35 Combine like terms: 0 + -35 = -35 10x = -35 Divide each side by '10'. x = -3.5 Simplifying x = -3.5
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