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