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Simplifying 3(6x + 9) + -10x = 1 Reorder the terms: 3(9 + 6x) + -10x = 1 (9 * 3 + 6x * 3) + -10x = 1 (27 + 18x) + -10x = 1 Combine like terms: 18x + -10x = 8x 27 + 8x = 1 Solving 27 + 8x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 8x = 1 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 1 + -27 8x = 1 + -27 Combine like terms: 1 + -27 = -26 8x = -26 Divide each side by '8'. x = -3.25 Simplifying x = -3.25
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