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Simplifying 7(x + -2) + -1 = 5x + 2(-5 + x) Reorder the terms: 7(-2 + x) + -1 = 5x + 2(-5 + x) (-2 * 7 + x * 7) + -1 = 5x + 2(-5 + x) (-14 + 7x) + -1 = 5x + 2(-5 + x) Reorder the terms: -14 + -1 + 7x = 5x + 2(-5 + x) Combine like terms: -14 + -1 = -15 -15 + 7x = 5x + 2(-5 + x) -15 + 7x = 5x + (-5 * 2 + x * 2) -15 + 7x = 5x + (-10 + 2x) Reorder the terms: -15 + 7x = -10 + 5x + 2x Combine like terms: 5x + 2x = 7x -15 + 7x = -10 + 7x Add '-7x' to each side of the equation. -15 + 7x + -7x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 0 = -10 + 7x + -7x -15 = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 = -10 + 0 -15 = -10 Solving -15 = -10 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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