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Simplifying 3(x + 2) + -5(x + -9) = 0 Reorder the terms: 3(2 + x) + -5(x + -9) = 0 (2 * 3 + x * 3) + -5(x + -9) = 0 (6 + 3x) + -5(x + -9) = 0 Reorder the terms: 6 + 3x + -5(-9 + x) = 0 6 + 3x + (-9 * -5 + x * -5) = 0 6 + 3x + (45 + -5x) = 0 Reorder the terms: 6 + 45 + 3x + -5x = 0 Combine like terms: 6 + 45 = 51 51 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 51 + -2x = 0 Solving 51 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -2x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -2x = 0 + -51 -2x = 0 + -51 Combine like terms: 0 + -51 = -51 -2x = -51 Divide each side by '-2'. x = 25.5 Simplifying x = 25.5
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