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Simplifying 5(x + 8) + 2 = 10x + -5(x + -3) Reorder the terms: 5(8 + x) + 2 = 10x + -5(x + -3) (8 * 5 + x * 5) + 2 = 10x + -5(x + -3) (40 + 5x) + 2 = 10x + -5(x + -3) Reorder the terms: 40 + 2 + 5x = 10x + -5(x + -3) Combine like terms: 40 + 2 = 42 42 + 5x = 10x + -5(x + -3) Reorder the terms: 42 + 5x = 10x + -5(-3 + x) 42 + 5x = 10x + (-3 * -5 + x * -5) 42 + 5x = 10x + (15 + -5x) Reorder the terms: 42 + 5x = 15 + 10x + -5x Combine like terms: 10x + -5x = 5x 42 + 5x = 15 + 5x Add '-5x' to each side of the equation. 42 + 5x + -5x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + 0 = 15 + 5x + -5x 42 = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 42 = 15 + 0 42 = 15 Solving 42 = 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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