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Simplifying 11(x + 1) + -3x = 2(4x + 1) + -5 Reorder the terms: 11(1 + x) + -3x = 2(4x + 1) + -5 (1 * 11 + x * 11) + -3x = 2(4x + 1) + -5 (11 + 11x) + -3x = 2(4x + 1) + -5 Combine like terms: 11x + -3x = 8x 11 + 8x = 2(4x + 1) + -5 Reorder the terms: 11 + 8x = 2(1 + 4x) + -5 11 + 8x = (1 * 2 + 4x * 2) + -5 11 + 8x = (2 + 8x) + -5 Reorder the terms: 11 + 8x = 2 + -5 + 8x Combine like terms: 2 + -5 = -3 11 + 8x = -3 + 8x Add '-8x' to each side of the equation. 11 + 8x + -8x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + 0 = -3 + 8x + -8x 11 = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 11 = -3 + 0 11 = -3 Solving 11 = -3 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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