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Simplifying 5(x + 3) + 8 = 7x + -2(x + -5) Reorder the terms: 5(3 + x) + 8 = 7x + -2(x + -5) (3 * 5 + x * 5) + 8 = 7x + -2(x + -5) (15 + 5x) + 8 = 7x + -2(x + -5) Reorder the terms: 15 + 8 + 5x = 7x + -2(x + -5) Combine like terms: 15 + 8 = 23 23 + 5x = 7x + -2(x + -5) Reorder the terms: 23 + 5x = 7x + -2(-5 + x) 23 + 5x = 7x + (-5 * -2 + x * -2) 23 + 5x = 7x + (10 + -2x) Reorder the terms: 23 + 5x = 10 + 7x + -2x Combine like terms: 7x + -2x = 5x 23 + 5x = 10 + 5x Add '-5x' to each side of the equation. 23 + 5x + -5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + 0 = 10 + 5x + -5x 23 = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 23 = 10 + 0 23 = 10 Solving 23 = 10 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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