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Simplifying 7(x + -1) = 3x + 4(-1 + x) Reorder the terms: 7(-1 + x) = 3x + 4(-1 + x) (-1 * 7 + x * 7) = 3x + 4(-1 + x) (-7 + 7x) = 3x + 4(-1 + x) -7 + 7x = 3x + (-1 * 4 + x * 4) -7 + 7x = 3x + (-4 + 4x) Reorder the terms: -7 + 7x = -4 + 3x + 4x Combine like terms: 3x + 4x = 7x -7 + 7x = -4 + 7x Add '-7x' to each side of the equation. -7 + 7x + -7x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + 0 = -4 + 7x + -7x -7 = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 = -4 + 0 -7 = -4 Solving -7 = -4 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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