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Simplifying 5(x + 1) = 5(x + 5) + -15 Reorder the terms: 5(1 + x) = 5(x + 5) + -15 (1 * 5 + x * 5) = 5(x + 5) + -15 (5 + 5x) = 5(x + 5) + -15 Reorder the terms: 5 + 5x = 5(5 + x) + -15 5 + 5x = (5 * 5 + x * 5) + -15 5 + 5x = (25 + 5x) + -15 Reorder the terms: 5 + 5x = 25 + -15 + 5x Combine like terms: 25 + -15 = 10 5 + 5x = 10 + 5x Add '-5x' to each side of the equation. 5 + 5x + -5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 0 = 10 + 5x + -5x 5 = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 5 = 10 + 0 5 = 10 Solving 5 = 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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