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Simplifying 5(x + -1) + -7 = 2x + 3(-5 + x) Reorder the terms: 5(-1 + x) + -7 = 2x + 3(-5 + x) (-1 * 5 + x * 5) + -7 = 2x + 3(-5 + x) (-5 + 5x) + -7 = 2x + 3(-5 + x) Reorder the terms: -5 + -7 + 5x = 2x + 3(-5 + x) Combine like terms: -5 + -7 = -12 -12 + 5x = 2x + 3(-5 + x) -12 + 5x = 2x + (-5 * 3 + x * 3) -12 + 5x = 2x + (-15 + 3x) Reorder the terms: -12 + 5x = -15 + 2x + 3x Combine like terms: 2x + 3x = 5x -12 + 5x = -15 + 5x Add '-5x' to each side of the equation. -12 + 5x + -5x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 0 = -15 + 5x + -5x -12 = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 = -15 + 0 -12 = -15 Solving -12 = -15 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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