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Simplifying 5x + -2 = 3x + -7 + -1(-2x + 8) Reorder the terms: -2 + 5x = 3x + -7 + -1(-2x + 8) Reorder the terms: -2 + 5x = 3x + -7 + -1(8 + -2x) -2 + 5x = 3x + -7 + (8 * -1 + -2x * -1) -2 + 5x = 3x + -7 + (-8 + 2x) Reorder the terms: -2 + 5x = -7 + -8 + 3x + 2x Combine like terms: -7 + -8 = -15 -2 + 5x = -15 + 3x + 2x Combine like terms: 3x + 2x = 5x -2 + 5x = -15 + 5x Add '-5x' to each side of the equation. -2 + 5x + -5x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 0 = -15 + 5x + -5x -2 = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 = -15 + 0 -2 = -15 Solving -2 = -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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