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Simplifying 5(x + -12) + -3x = 2(x + 5) Reorder the terms: 5(-12 + x) + -3x = 2(x + 5) (-12 * 5 + x * 5) + -3x = 2(x + 5) (-60 + 5x) + -3x = 2(x + 5) Combine like terms: 5x + -3x = 2x -60 + 2x = 2(x + 5) Reorder the terms: -60 + 2x = 2(5 + x) -60 + 2x = (5 * 2 + x * 2) -60 + 2x = (10 + 2x) Add '-2x' to each side of the equation. -60 + 2x + -2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -60 + 0 = 10 + 2x + -2x -60 = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -60 = 10 + 0 -60 = 10 Solving -60 = 10 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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