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Simplifying 7(x + -2) = 5(8 + -2x) + 17x Reorder the terms: 7(-2 + x) = 5(8 + -2x) + 17x (-2 * 7 + x * 7) = 5(8 + -2x) + 17x (-14 + 7x) = 5(8 + -2x) + 17x -14 + 7x = (8 * 5 + -2x * 5) + 17x -14 + 7x = (40 + -10x) + 17x Combine like terms: -10x + 17x = 7x -14 + 7x = 40 + 7x Add '-7x' to each side of the equation. -14 + 7x + -7x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 0 = 40 + 7x + -7x -14 = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 = 40 + 0 -14 = 40 Solving -14 = 40 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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