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Simplifying 3x + 4x + -17 = 17x + -5(2x + 11) Reorder the terms: -17 + 3x + 4x = 17x + -5(2x + 11) Combine like terms: 3x + 4x = 7x -17 + 7x = 17x + -5(2x + 11) Reorder the terms: -17 + 7x = 17x + -5(11 + 2x) -17 + 7x = 17x + (11 * -5 + 2x * -5) -17 + 7x = 17x + (-55 + -10x) Reorder the terms: -17 + 7x = -55 + 17x + -10x Combine like terms: 17x + -10x = 7x -17 + 7x = -55 + 7x Add '-7x' to each side of the equation. -17 + 7x + -7x = -55 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + 0 = -55 + 7x + -7x -17 = -55 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 = -55 + 0 -17 = -55 Solving -17 = -55 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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