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Simplifying 9(2x + 1) = 11(2x + -1) Reorder the terms: 9(1 + 2x) = 11(2x + -1) (1 * 9 + 2x * 9) = 11(2x + -1) (9 + 18x) = 11(2x + -1) Reorder the terms: 9 + 18x = 11(-1 + 2x) 9 + 18x = (-1 * 11 + 2x * 11) 9 + 18x = (-11 + 22x) Solving 9 + 18x = -11 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 9 + 18x + -22x = -11 + 22x + -22x Combine like terms: 18x + -22x = -4x 9 + -4x = -11 + 22x + -22x Combine like terms: 22x + -22x = 0 9 + -4x = -11 + 0 9 + -4x = -11 Add '-9' to each side of the equation. 9 + -9 + -4x = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = -11 + -9 -4x = -11 + -9 Combine like terms: -11 + -9 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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