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Simplifying 5(x + -3) = 2(3x + -5) + -1x + 2 Reorder the terms: 5(-3 + x) = 2(3x + -5) + -1x + 2 (-3 * 5 + x * 5) = 2(3x + -5) + -1x + 2 (-15 + 5x) = 2(3x + -5) + -1x + 2 Reorder the terms: -15 + 5x = 2(-5 + 3x) + -1x + 2 -15 + 5x = (-5 * 2 + 3x * 2) + -1x + 2 -15 + 5x = (-10 + 6x) + -1x + 2 Reorder the terms: -15 + 5x = -10 + 2 + 6x + -1x Combine like terms: -10 + 2 = -8 -15 + 5x = -8 + 6x + -1x Combine like terms: 6x + -1x = 5x -15 + 5x = -8 + 5x Add '-5x' to each side of the equation. -15 + 5x + -5x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 0 = -8 + 5x + -5x -15 = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 = -8 + 0 -15 = -8 Solving -15 = -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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