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Simplifying 2(2x + -9) = 9(2x + 9) Reorder the terms: 2(-9 + 2x) = 9(2x + 9) (-9 * 2 + 2x * 2) = 9(2x + 9) (-18 + 4x) = 9(2x + 9) Reorder the terms: -18 + 4x = 9(9 + 2x) -18 + 4x = (9 * 9 + 2x * 9) -18 + 4x = (81 + 18x) Solving -18 + 4x = 81 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -18 + 4x + -18x = 81 + 18x + -18x Combine like terms: 4x + -18x = -14x -18 + -14x = 81 + 18x + -18x Combine like terms: 18x + -18x = 0 -18 + -14x = 81 + 0 -18 + -14x = 81 Add '18' to each side of the equation. -18 + 18 + -14x = 81 + 18 Combine like terms: -18 + 18 = 0 0 + -14x = 81 + 18 -14x = 81 + 18 Combine like terms: 81 + 18 = 99 -14x = 99 Divide each side by '-14'. x = -7.071428571 Simplifying x = -7.071428571
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