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Simplifying 11(x + -1) = 8(1 + -1x) Reorder the terms: 11(-1 + x) = 8(1 + -1x) (-1 * 11 + x * 11) = 8(1 + -1x) (-11 + 11x) = 8(1 + -1x) -11 + 11x = (1 * 8 + -1x * 8) -11 + 11x = (8 + -8x) Solving -11 + 11x = 8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -11 + 11x + 8x = 8 + -8x + 8x Combine like terms: 11x + 8x = 19x -11 + 19x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 -11 + 19x = 8 + 0 -11 + 19x = 8 Add '11' to each side of the equation. -11 + 11 + 19x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + 19x = 8 + 11 19x = 8 + 11 Combine like terms: 8 + 11 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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