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Simplifying 6(3x + 1) + 2(9 + -1x) = 0 Reorder the terms: 6(1 + 3x) + 2(9 + -1x) = 0 (1 * 6 + 3x * 6) + 2(9 + -1x) = 0 (6 + 18x) + 2(9 + -1x) = 0 6 + 18x + (9 * 2 + -1x * 2) = 0 6 + 18x + (18 + -2x) = 0 Reorder the terms: 6 + 18 + 18x + -2x = 0 Combine like terms: 6 + 18 = 24 24 + 18x + -2x = 0 Combine like terms: 18x + -2x = 16x 24 + 16x = 0 Solving 24 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 16x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = 0 + -24 16x = 0 + -24 Combine like terms: 0 + -24 = -24 16x = -24 Divide each side by '16'. x = -1.5 Simplifying x = -1.5
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