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Simplifying 11(2x + -1) = 9(2x + 1) Reorder the terms: 11(-1 + 2x) = 9(2x + 1) (-1 * 11 + 2x * 11) = 9(2x + 1) (-11 + 22x) = 9(2x + 1) Reorder the terms: -11 + 22x = 9(1 + 2x) -11 + 22x = (1 * 9 + 2x * 9) -11 + 22x = (9 + 18x) Solving -11 + 22x = 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. -11 + 22x + -18x = 9 + 18x + -18x Combine like terms: 22x + -18x = 4x -11 + 4x = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 -11 + 4x = 9 + 0 -11 + 4x = 9 Add '11' to each side of the equation. -11 + 11 + 4x = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 9 + 11 4x = 9 + 11 Combine like terms: 9 + 11 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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