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