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Simplifying 3(x + 9) + -1(x + -6) = 0 Reorder the terms: 3(9 + x) + -1(x + -6) = 0 (9 * 3 + x * 3) + -1(x + -6) = 0 (27 + 3x) + -1(x + -6) = 0 Reorder the terms: 27 + 3x + -1(-6 + x) = 0 27 + 3x + (-6 * -1 + x * -1) = 0 27 + 3x + (6 + -1x) = 0 Reorder the terms: 27 + 6 + 3x + -1x = 0 Combine like terms: 27 + 6 = 33 33 + 3x + -1x = 0 Combine like terms: 3x + -1x = 2x 33 + 2x = 0 Solving 33 + 2x = 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 + 2x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 2x = 0 + -33 2x = 0 + -33 Combine like terms: 0 + -33 = -33 2x = -33 Divide each side by '2'. x = -16.5 Simplifying x = -16.5
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