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Simplifying 11(x + -1) = 3(x + 1) + -1 Reorder the terms: 11(-1 + x) = 3(x + 1) + -1 (-1 * 11 + x * 11) = 3(x + 1) + -1 (-11 + 11x) = 3(x + 1) + -1 Reorder the terms: -11 + 11x = 3(1 + x) + -1 -11 + 11x = (1 * 3 + x * 3) + -1 -11 + 11x = (3 + 3x) + -1 Reorder the terms: -11 + 11x = 3 + -1 + 3x Combine like terms: 3 + -1 = 2 -11 + 11x = 2 + 3x Solving -11 + 11x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -11 + 11x + -3x = 2 + 3x + -3x Combine like terms: 11x + -3x = 8x -11 + 8x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 8x = 2 + 0 -11 + 8x = 2 Add '11' to each side of the equation. -11 + 11 + 8x = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 2 + 11 8x = 2 + 11 Combine like terms: 2 + 11 = 13 8x = 13 Divide each side by '8'. x = 1.625 Simplifying x = 1.625
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