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