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Simplifying 2(2x + -9) = 9(5x + 5) Reorder the terms: 2(-9 + 2x) = 9(5x + 5) (-9 * 2 + 2x * 2) = 9(5x + 5) (-18 + 4x) = 9(5x + 5) Reorder the terms: -18 + 4x = 9(5 + 5x) -18 + 4x = (5 * 9 + 5x * 9) -18 + 4x = (45 + 45x) Solving -18 + 4x = 45 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -18 + 4x + -45x = 45 + 45x + -45x Combine like terms: 4x + -45x = -41x -18 + -41x = 45 + 45x + -45x Combine like terms: 45x + -45x = 0 -18 + -41x = 45 + 0 -18 + -41x = 45 Add '18' to each side of the equation. -18 + 18 + -41x = 45 + 18 Combine like terms: -18 + 18 = 0 0 + -41x = 45 + 18 -41x = 45 + 18 Combine like terms: 45 + 18 = 63 -41x = 63 Divide each side by '-41'. x = -1.536585366 Simplifying x = -1.536585366
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