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Simplifying 3(6x + 4) + -9(2 + x) + 10 = 0 Reorder the terms: 3(4 + 6x) + -9(2 + x) + 10 = 0 (4 * 3 + 6x * 3) + -9(2 + x) + 10 = 0 (12 + 18x) + -9(2 + x) + 10 = 0 12 + 18x + (2 * -9 + x * -9) + 10 = 0 12 + 18x + (-18 + -9x) + 10 = 0 Reorder the terms: 12 + -18 + 10 + 18x + -9x = 0 Combine like terms: 12 + -18 = -6 -6 + 10 + 18x + -9x = 0 Combine like terms: -6 + 10 = 4 4 + 18x + -9x = 0 Combine like terms: 18x + -9x = 9x 4 + 9x = 0 Solving 4 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 0 + -4 9x = 0 + -4 Combine like terms: 0 + -4 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444
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