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Simplifying 17x + -7 = 4(10 + -2x) + 5(5x + 4) Reorder the terms: -7 + 17x = 4(10 + -2x) + 5(5x + 4) -7 + 17x = (10 * 4 + -2x * 4) + 5(5x + 4) -7 + 17x = (40 + -8x) + 5(5x + 4) Reorder the terms: -7 + 17x = 40 + -8x + 5(4 + 5x) -7 + 17x = 40 + -8x + (4 * 5 + 5x * 5) -7 + 17x = 40 + -8x + (20 + 25x) Reorder the terms: -7 + 17x = 40 + 20 + -8x + 25x Combine like terms: 40 + 20 = 60 -7 + 17x = 60 + -8x + 25x Combine like terms: -8x + 25x = 17x -7 + 17x = 60 + 17x Add '-17x' to each side of the equation. -7 + 17x + -17x = 60 + 17x + -17x Combine like terms: 17x + -17x = 0 -7 + 0 = 60 + 17x + -17x -7 = 60 + 17x + -17x Combine like terms: 17x + -17x = 0 -7 = 60 + 0 -7 = 60 Solving -7 = 60 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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