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Simplifying 5(x + 1) + 5 = 2x + 3(4 + x) Reorder the terms: 5(1 + x) + 5 = 2x + 3(4 + x) (1 * 5 + x * 5) + 5 = 2x + 3(4 + x) (5 + 5x) + 5 = 2x + 3(4 + x) Reorder the terms: 5 + 5 + 5x = 2x + 3(4 + x) Combine like terms: 5 + 5 = 10 10 + 5x = 2x + 3(4 + x) 10 + 5x = 2x + (4 * 3 + x * 3) 10 + 5x = 2x + (12 + 3x) Reorder the terms: 10 + 5x = 12 + 2x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = 12 + 5x Add '-5x' to each side of the equation. 10 + 5x + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 0 = 12 + 5x + -5x 10 = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 10 = 12 + 0 10 = 12 Solving 10 = 12 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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