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Simplifying 7(x + -5) = 8(1 + 3x) + -17x Reorder the terms: 7(-5 + x) = 8(1 + 3x) + -17x (-5 * 7 + x * 7) = 8(1 + 3x) + -17x (-35 + 7x) = 8(1 + 3x) + -17x -35 + 7x = (1 * 8 + 3x * 8) + -17x -35 + 7x = (8 + 24x) + -17x Combine like terms: 24x + -17x = 7x -35 + 7x = 8 + 7x Add '-7x' to each side of the equation. -35 + 7x + -7x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + 0 = 8 + 7x + -7x -35 = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 = 8 + 0 -35 = 8 Solving -35 = 8 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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