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Simplifying 7(x + -4) + 1 = 7(x + -1) Reorder the terms: 7(-4 + x) + 1 = 7(x + -1) (-4 * 7 + x * 7) + 1 = 7(x + -1) (-28 + 7x) + 1 = 7(x + -1) Reorder the terms: -28 + 1 + 7x = 7(x + -1) Combine like terms: -28 + 1 = -27 -27 + 7x = 7(x + -1) Reorder the terms: -27 + 7x = 7(-1 + x) -27 + 7x = (-1 * 7 + x * 7) -27 + 7x = (-7 + 7x) Add '-7x' to each side of the equation. -27 + 7x + -7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 + 0 = -7 + 7x + -7x -27 = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 = -7 + 0 -27 = -7 Solving -27 = -7 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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