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Simplifying 3x + -13 = 7(x + 2) + -4(x + -7) Reorder the terms: -13 + 3x = 7(x + 2) + -4(x + -7) Reorder the terms: -13 + 3x = 7(2 + x) + -4(x + -7) -13 + 3x = (2 * 7 + x * 7) + -4(x + -7) -13 + 3x = (14 + 7x) + -4(x + -7) Reorder the terms: -13 + 3x = 14 + 7x + -4(-7 + x) -13 + 3x = 14 + 7x + (-7 * -4 + x * -4) -13 + 3x = 14 + 7x + (28 + -4x) Reorder the terms: -13 + 3x = 14 + 28 + 7x + -4x Combine like terms: 14 + 28 = 42 -13 + 3x = 42 + 7x + -4x Combine like terms: 7x + -4x = 3x -13 + 3x = 42 + 3x Add '-3x' to each side of the equation. -13 + 3x + -3x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 0 = 42 + 3x + -3x -13 = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 = 42 + 0 -13 = 42 Solving -13 = 42 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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