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Simplifying 7(x + -5) + 27 = 7x + -7 Reorder the terms: 7(-5 + x) + 27 = 7x + -7 (-5 * 7 + x * 7) + 27 = 7x + -7 (-35 + 7x) + 27 = 7x + -7 Reorder the terms: -35 + 27 + 7x = 7x + -7 Combine like terms: -35 + 27 = -8 -8 + 7x = 7x + -7 Reorder the terms: -8 + 7x = -7 + 7x Add '-7x' to each side of the equation. -8 + 7x + -7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 0 = -7 + 7x + -7x -8 = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 = -7 + 0 -8 = -7 Solving -8 = -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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