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Simplifying 9(x + 5) + 4(x + -3) = 0 Reorder the terms: 9(5 + x) + 4(x + -3) = 0 (5 * 9 + x * 9) + 4(x + -3) = 0 (45 + 9x) + 4(x + -3) = 0 Reorder the terms: 45 + 9x + 4(-3 + x) = 0 45 + 9x + (-3 * 4 + x * 4) = 0 45 + 9x + (-12 + 4x) = 0 Reorder the terms: 45 + -12 + 9x + 4x = 0 Combine like terms: 45 + -12 = 33 33 + 9x + 4x = 0 Combine like terms: 9x + 4x = 13x 33 + 13x = 0 Solving 33 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 13x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 13x = 0 + -33 13x = 0 + -33 Combine like terms: 0 + -33 = -33 13x = -33 Divide each side by '13'. x = -2.538461538 Simplifying x = -2.538461538
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