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Simplifying -2(3x + 1) + -5(x + -9) = 0 Reorder the terms: -2(1 + 3x) + -5(x + -9) = 0 (1 * -2 + 3x * -2) + -5(x + -9) = 0 (-2 + -6x) + -5(x + -9) = 0 Reorder the terms: -2 + -6x + -5(-9 + x) = 0 -2 + -6x + (-9 * -5 + x * -5) = 0 -2 + -6x + (45 + -5x) = 0 Reorder the terms: -2 + 45 + -6x + -5x = 0 Combine like terms: -2 + 45 = 43 43 + -6x + -5x = 0 Combine like terms: -6x + -5x = -11x 43 + -11x = 0 Solving 43 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -11x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -11x = 0 + -43 -11x = 0 + -43 Combine like terms: 0 + -43 = -43 -11x = -43 Divide each side by '-11'. x = 3.909090909 Simplifying x = 3.909090909
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