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Simplifying 4(x + -1) + x = 5(x + -1) + 9 Reorder the terms: 4(-1 + x) + x = 5(x + -1) + 9 (-1 * 4 + x * 4) + x = 5(x + -1) + 9 (-4 + 4x) + x = 5(x + -1) + 9 Combine like terms: 4x + x = 5x -4 + 5x = 5(x + -1) + 9 Reorder the terms: -4 + 5x = 5(-1 + x) + 9 -4 + 5x = (-1 * 5 + x * 5) + 9 -4 + 5x = (-5 + 5x) + 9 Reorder the terms: -4 + 5x = -5 + 9 + 5x Combine like terms: -5 + 9 = 4 -4 + 5x = 4 + 5x Add '-5x' to each side of the equation. -4 + 5x + -5x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 0 = 4 + 5x + -5x -4 = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 = 4 + 0 -4 = 4 Solving -4 = 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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