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Simplifying 9(x + -1) + -2 = 5(x + -3) + -1(-4x + -7) Reorder the terms: 9(-1 + x) + -2 = 5(x + -3) + -1(-4x + -7) (-1 * 9 + x * 9) + -2 = 5(x + -3) + -1(-4x + -7) (-9 + 9x) + -2 = 5(x + -3) + -1(-4x + -7) Reorder the terms: -9 + -2 + 9x = 5(x + -3) + -1(-4x + -7) Combine like terms: -9 + -2 = -11 -11 + 9x = 5(x + -3) + -1(-4x + -7) Reorder the terms: -11 + 9x = 5(-3 + x) + -1(-4x + -7) -11 + 9x = (-3 * 5 + x * 5) + -1(-4x + -7) -11 + 9x = (-15 + 5x) + -1(-4x + -7) Reorder the terms: -11 + 9x = -15 + 5x + -1(-7 + -4x) -11 + 9x = -15 + 5x + (-7 * -1 + -4x * -1) -11 + 9x = -15 + 5x + (7 + 4x) Reorder the terms: -11 + 9x = -15 + 7 + 5x + 4x Combine like terms: -15 + 7 = -8 -11 + 9x = -8 + 5x + 4x Combine like terms: 5x + 4x = 9x -11 + 9x = -8 + 9x Add '-9x' to each side of the equation. -11 + 9x + -9x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 -11 + 0 = -8 + 9x + -9x -11 = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 -11 = -8 + 0 -11 = -8 Solving -11 = -8 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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