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Simplifying 11(2x + -1) = 8(2x + 1) + 17 Reorder the terms: 11(-1 + 2x) = 8(2x + 1) + 17 (-1 * 11 + 2x * 11) = 8(2x + 1) + 17 (-11 + 22x) = 8(2x + 1) + 17 Reorder the terms: -11 + 22x = 8(1 + 2x) + 17 -11 + 22x = (1 * 8 + 2x * 8) + 17 -11 + 22x = (8 + 16x) + 17 Reorder the terms: -11 + 22x = 8 + 17 + 16x Combine like terms: 8 + 17 = 25 -11 + 22x = 25 + 16x Solving -11 + 22x = 25 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -11 + 22x + -16x = 25 + 16x + -16x Combine like terms: 22x + -16x = 6x -11 + 6x = 25 + 16x + -16x Combine like terms: 16x + -16x = 0 -11 + 6x = 25 + 0 -11 + 6x = 25 Add '11' to each side of the equation. -11 + 11 + 6x = 25 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 25 + 11 6x = 25 + 11 Combine like terms: 25 + 11 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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