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Simplifying 9(x + -4) + -4(x + -1) = 5(x + -1) Reorder the terms: 9(-4 + x) + -4(x + -1) = 5(x + -1) (-4 * 9 + x * 9) + -4(x + -1) = 5(x + -1) (-36 + 9x) + -4(x + -1) = 5(x + -1) Reorder the terms: -36 + 9x + -4(-1 + x) = 5(x + -1) -36 + 9x + (-1 * -4 + x * -4) = 5(x + -1) -36 + 9x + (4 + -4x) = 5(x + -1) Reorder the terms: -36 + 4 + 9x + -4x = 5(x + -1) Combine like terms: -36 + 4 = -32 -32 + 9x + -4x = 5(x + -1) Combine like terms: 9x + -4x = 5x -32 + 5x = 5(x + -1) Reorder the terms: -32 + 5x = 5(-1 + x) -32 + 5x = (-1 * 5 + x * 5) -32 + 5x = (-5 + 5x) Add '-5x' to each side of the equation. -32 + 5x + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 0 = -5 + 5x + -5x -32 = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 = -5 + 0 -32 = -5 Solving -32 = -5 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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