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Simplifying 5(x + 1) + 10 = 5x + 10 + 1 + 9 Reorder the terms: 5(1 + x) + 10 = 5x + 10 + 1 + 9 (1 * 5 + x * 5) + 10 = 5x + 10 + 1 + 9 (5 + 5x) + 10 = 5x + 10 + 1 + 9 Reorder the terms: 5 + 10 + 5x = 5x + 10 + 1 + 9 Combine like terms: 5 + 10 = 15 15 + 5x = 5x + 10 + 1 + 9 Reorder the terms: 15 + 5x = 10 + 1 + 9 + 5x Combine like terms: 10 + 1 = 11 15 + 5x = 11 + 9 + 5x Combine like terms: 11 + 9 = 20 15 + 5x = 20 + 5x Add '-5x' to each side of the equation. 15 + 5x + -5x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 0 = 20 + 5x + -5x 15 = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 15 = 20 + 0 15 = 20 Solving 15 = 20 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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