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Simplifying -3(x + 5) + 5x = 2(x + 6) Reorder the terms: -3(5 + x) + 5x = 2(x + 6) (5 * -3 + x * -3) + 5x = 2(x + 6) (-15 + -3x) + 5x = 2(x + 6) Combine like terms: -3x + 5x = 2x -15 + 2x = 2(x + 6) Reorder the terms: -15 + 2x = 2(6 + x) -15 + 2x = (6 * 2 + x * 2) -15 + 2x = (12 + 2x) Add '-2x' to each side of the equation. -15 + 2x + -2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 0 = 12 + 2x + -2x -15 = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 = 12 + 0 -15 = 12 Solving -15 = 12 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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