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Simplifying 4x + -1(2x + -1) = x + 5 + x + -6 Reorder the terms: 4x + -1(-1 + 2x) = x + 5 + x + -6 4x + (-1 * -1 + 2x * -1) = x + 5 + x + -6 4x + (1 + -2x) = x + 5 + x + -6 Reorder the terms: 1 + 4x + -2x = x + 5 + x + -6 Combine like terms: 4x + -2x = 2x 1 + 2x = x + 5 + x + -6 Reorder the terms: 1 + 2x = 5 + -6 + x + x Combine like terms: 5 + -6 = -1 1 + 2x = -1 + x + x Combine like terms: x + x = 2x 1 + 2x = -1 + 2x Add '-2x' to each side of the equation. 1 + 2x + -2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 0 = -1 + 2x + -2x 1 = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 1 = -1 + 0 1 = -1 Solving 1 = -1 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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