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Simplifying -2(3x + 9) + 10(9x + 2) = 0 Reorder the terms: -2(9 + 3x) + 10(9x + 2) = 0 (9 * -2 + 3x * -2) + 10(9x + 2) = 0 (-18 + -6x) + 10(9x + 2) = 0 Reorder the terms: -18 + -6x + 10(2 + 9x) = 0 -18 + -6x + (2 * 10 + 9x * 10) = 0 -18 + -6x + (20 + 90x) = 0 Reorder the terms: -18 + 20 + -6x + 90x = 0 Combine like terms: -18 + 20 = 2 2 + -6x + 90x = 0 Combine like terms: -6x + 90x = 84x 2 + 84x = 0 Solving 2 + 84x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 84x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 84x = 0 + -2 84x = 0 + -2 Combine like terms: 0 + -2 = -2 84x = -2 Divide each side by '84'. x = -0.02380952381 Simplifying x = -0.02380952381
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