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Simplifying (2x + -100) + x = (x + 50) + (2x + -100 + -20) Reorder the terms: (-100 + 2x) + x = (x + 50) + (2x + -100 + -20) Remove parenthesis around (-100 + 2x) -100 + 2x + x = (x + 50) + (2x + -100 + -20) Combine like terms: 2x + x = 3x -100 + 3x = (x + 50) + (2x + -100 + -20) Reorder the terms: -100 + 3x = (50 + x) + (2x + -100 + -20) Remove parenthesis around (50 + x) -100 + 3x = 50 + x + (2x + -100 + -20) Reorder the terms: -100 + 3x = 50 + x + (-100 + -20 + 2x) Combine like terms: -100 + -20 = -120 -100 + 3x = 50 + x + (-120 + 2x) Remove parenthesis around (-120 + 2x) -100 + 3x = 50 + x + -120 + 2x Reorder the terms: -100 + 3x = 50 + -120 + x + 2x Combine like terms: 50 + -120 = -70 -100 + 3x = -70 + x + 2x Combine like terms: x + 2x = 3x -100 + 3x = -70 + 3x Add '-3x' to each side of the equation. -100 + 3x + -3x = -70 + 3x + -3x Combine like terms: 3x + -3x = 0 -100 + 0 = -70 + 3x + -3x -100 = -70 + 3x + -3x Combine like terms: 3x + -3x = 0 -100 = -70 + 0 -100 = -70 Solving -100 = -70 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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