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Simplifying -8(x + -3) + (13x) = 5(x + 7) + -13 Reorder the terms: -8(-3 + x) + (13x) = 5(x + 7) + -13 (-3 * -8 + x * -8) + (13x) = 5(x + 7) + -13 (24 + -8x) + (13x) = 5(x + 7) + -13 Combine like terms: -8x + (13x) = 5x 24 + 5x = 5(x + 7) + -13 Reorder the terms: 24 + 5x = 5(7 + x) + -13 24 + 5x = (7 * 5 + x * 5) + -13 24 + 5x = (35 + 5x) + -13 Reorder the terms: 24 + 5x = 35 + -13 + 5x Combine like terms: 35 + -13 = 22 24 + 5x = 22 + 5x Add '-5x' to each side of the equation. 24 + 5x + -5x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 0 = 22 + 5x + -5x 24 = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 24 = 22 + 0 24 = 22 Solving 24 = 22 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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