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Simplifying 13(x + 3) + -21 = 10x + 3(x + 5) Reorder the terms: 13(3 + x) + -21 = 10x + 3(x + 5) (3 * 13 + x * 13) + -21 = 10x + 3(x + 5) (39 + 13x) + -21 = 10x + 3(x + 5) Reorder the terms: 39 + -21 + 13x = 10x + 3(x + 5) Combine like terms: 39 + -21 = 18 18 + 13x = 10x + 3(x + 5) Reorder the terms: 18 + 13x = 10x + 3(5 + x) 18 + 13x = 10x + (5 * 3 + x * 3) 18 + 13x = 10x + (15 + 3x) Reorder the terms: 18 + 13x = 15 + 10x + 3x Combine like terms: 10x + 3x = 13x 18 + 13x = 15 + 13x Add '-13x' to each side of the equation. 18 + 13x + -13x = 15 + 13x + -13x Combine like terms: 13x + -13x = 0 18 + 0 = 15 + 13x + -13x 18 = 15 + 13x + -13x Combine like terms: 13x + -13x = 0 18 = 15 + 0 18 = 15 Solving 18 = 15 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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