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Simplifying 2(2x + -1) = 9(2x + 1) Reorder the terms: 2(-1 + 2x) = 9(2x + 1) (-1 * 2 + 2x * 2) = 9(2x + 1) (-2 + 4x) = 9(2x + 1) Reorder the terms: -2 + 4x = 9(1 + 2x) -2 + 4x = (1 * 9 + 2x * 9) -2 + 4x = (9 + 18x) Solving -2 + 4x = 9 + 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. -2 + 4x + -18x = 9 + 18x + -18x Combine like terms: 4x + -18x = -14x -2 + -14x = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 -2 + -14x = 9 + 0 -2 + -14x = 9 Add '2' to each side of the equation. -2 + 2 + -14x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -14x = 9 + 2 -14x = 9 + 2 Combine like terms: 9 + 2 = 11 -14x = 11 Divide each side by '-14'. x = -0.7857142857 Simplifying x = -0.7857142857
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