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Simplifying 9x + -19 = 5(x + -2) + -2(7 + -2x) Reorder the terms: -19 + 9x = 5(x + -2) + -2(7 + -2x) Reorder the terms: -19 + 9x = 5(-2 + x) + -2(7 + -2x) -19 + 9x = (-2 * 5 + x * 5) + -2(7 + -2x) -19 + 9x = (-10 + 5x) + -2(7 + -2x) -19 + 9x = -10 + 5x + (7 * -2 + -2x * -2) -19 + 9x = -10 + 5x + (-14 + 4x) Reorder the terms: -19 + 9x = -10 + -14 + 5x + 4x Combine like terms: -10 + -14 = -24 -19 + 9x = -24 + 5x + 4x Combine like terms: 5x + 4x = 9x -19 + 9x = -24 + 9x Add '-9x' to each side of the equation. -19 + 9x + -9x = -24 + 9x + -9x Combine like terms: 9x + -9x = 0 -19 + 0 = -24 + 9x + -9x -19 = -24 + 9x + -9x Combine like terms: 9x + -9x = 0 -19 = -24 + 0 -19 = -24 Solving -19 = -24 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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