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Simplifying 7(x + -1) + -6 = 5x + 2(-4 + x) Reorder the terms: 7(-1 + x) + -6 = 5x + 2(-4 + x) (-1 * 7 + x * 7) + -6 = 5x + 2(-4 + x) (-7 + 7x) + -6 = 5x + 2(-4 + x) Reorder the terms: -7 + -6 + 7x = 5x + 2(-4 + x) Combine like terms: -7 + -6 = -13 -13 + 7x = 5x + 2(-4 + x) -13 + 7x = 5x + (-4 * 2 + x * 2) -13 + 7x = 5x + (-8 + 2x) Reorder the terms: -13 + 7x = -8 + 5x + 2x Combine like terms: 5x + 2x = 7x -13 + 7x = -8 + 7x Add '-7x' to each side of the equation. -13 + 7x + -7x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + 0 = -8 + 7x + -7x -13 = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 = -8 + 0 -13 = -8 Solving -13 = -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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