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Simplifying 5(x + -7) + 1 = 3(x + -10) + 2x Reorder the terms: 5(-7 + x) + 1 = 3(x + -10) + 2x (-7 * 5 + x * 5) + 1 = 3(x + -10) + 2x (-35 + 5x) + 1 = 3(x + -10) + 2x Reorder the terms: -35 + 1 + 5x = 3(x + -10) + 2x Combine like terms: -35 + 1 = -34 -34 + 5x = 3(x + -10) + 2x Reorder the terms: -34 + 5x = 3(-10 + x) + 2x -34 + 5x = (-10 * 3 + x * 3) + 2x -34 + 5x = (-30 + 3x) + 2x Combine like terms: 3x + 2x = 5x -34 + 5x = -30 + 5x Add '-5x' to each side of the equation. -34 + 5x + -5x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 0 = -30 + 5x + -5x -34 = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 = -30 + 0 -34 = -30 Solving -34 = -30 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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