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Simplifying 4(6x + 4) + 9(12 + -1x) = 0 Reorder the terms: 4(4 + 6x) + 9(12 + -1x) = 0 (4 * 4 + 6x * 4) + 9(12 + -1x) = 0 (16 + 24x) + 9(12 + -1x) = 0 16 + 24x + (12 * 9 + -1x * 9) = 0 16 + 24x + (108 + -9x) = 0 Reorder the terms: 16 + 108 + 24x + -9x = 0 Combine like terms: 16 + 108 = 124 124 + 24x + -9x = 0 Combine like terms: 24x + -9x = 15x 124 + 15x = 0 Solving 124 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-124' to each side of the equation. 124 + -124 + 15x = 0 + -124 Combine like terms: 124 + -124 = 0 0 + 15x = 0 + -124 15x = 0 + -124 Combine like terms: 0 + -124 = -124 15x = -124 Divide each side by '15'. x = -8.266666667 Simplifying x = -8.266666667
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