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