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Simplifying 5(2x + -3) + -1(3x + -7) + 6x = 13x + -20 Reorder the terms: 5(-3 + 2x) + -1(3x + -7) + 6x = 13x + -20 (-3 * 5 + 2x * 5) + -1(3x + -7) + 6x = 13x + -20 (-15 + 10x) + -1(3x + -7) + 6x = 13x + -20 Reorder the terms: -15 + 10x + -1(-7 + 3x) + 6x = 13x + -20 -15 + 10x + (-7 * -1 + 3x * -1) + 6x = 13x + -20 -15 + 10x + (7 + -3x) + 6x = 13x + -20 Reorder the terms: -15 + 7 + 10x + -3x + 6x = 13x + -20 Combine like terms: -15 + 7 = -8 -8 + 10x + -3x + 6x = 13x + -20 Combine like terms: 10x + -3x = 7x -8 + 7x + 6x = 13x + -20 Combine like terms: 7x + 6x = 13x -8 + 13x = 13x + -20 Reorder the terms: -8 + 13x = -20 + 13x Add '-13x' to each side of the equation. -8 + 13x + -13x = -20 + 13x + -13x Combine like terms: 13x + -13x = 0 -8 + 0 = -20 + 13x + -13x -8 = -20 + 13x + -13x Combine like terms: 13x + -13x = 0 -8 = -20 + 0 -8 = -20 Solving -8 = -20 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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