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Simplifying 9(3 + -2x) + 2(5x + 1) = 0 (3 * 9 + -2x * 9) + 2(5x + 1) = 0 (27 + -18x) + 2(5x + 1) = 0 Reorder the terms: 27 + -18x + 2(1 + 5x) = 0 27 + -18x + (1 * 2 + 5x * 2) = 0 27 + -18x + (2 + 10x) = 0 Reorder the terms: 27 + 2 + -18x + 10x = 0 Combine like terms: 27 + 2 = 29 29 + -18x + 10x = 0 Combine like terms: -18x + 10x = -8x 29 + -8x = 0 Solving 29 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -8x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -8x = 0 + -29 -8x = 0 + -29 Combine like terms: 0 + -29 = -29 -8x = -29 Divide each side by '-8'. x = 3.625 Simplifying x = 3.625
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