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Simplifying 5x + -7 = (x + 2) + -1(8 + -4x) Reorder the terms: -7 + 5x = (x + 2) + -1(8 + -4x) Reorder the terms: -7 + 5x = (2 + x) + -1(8 + -4x) Remove parenthesis around (2 + x) -7 + 5x = 2 + x + -1(8 + -4x) -7 + 5x = 2 + x + (8 * -1 + -4x * -1) -7 + 5x = 2 + x + (-8 + 4x) Reorder the terms: -7 + 5x = 2 + -8 + x + 4x Combine like terms: 2 + -8 = -6 -7 + 5x = -6 + x + 4x Combine like terms: x + 4x = 5x -7 + 5x = -6 + 5x Add '-5x' to each side of the equation. -7 + 5x + -5x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 0 = -6 + 5x + -5x -7 = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 = -6 + 0 -7 = -6 Solving -7 = -6 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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