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Simplifying 2x + 3(x + 1) = 4 + 5(x + 2) Reorder the terms: 2x + 3(1 + x) = 4 + 5(x + 2) 2x + (1 * 3 + x * 3) = 4 + 5(x + 2) 2x + (3 + 3x) = 4 + 5(x + 2) Reorder the terms: 3 + 2x + 3x = 4 + 5(x + 2) Combine like terms: 2x + 3x = 5x 3 + 5x = 4 + 5(x + 2) Reorder the terms: 3 + 5x = 4 + 5(2 + x) 3 + 5x = 4 + (2 * 5 + x * 5) 3 + 5x = 4 + (10 + 5x) Combine like terms: 4 + 10 = 14 3 + 5x = 14 + 5x Add '-5x' to each side of the equation. 3 + 5x + -5x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 0 = 14 + 5x + -5x 3 = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 3 = 14 + 0 3 = 14 Solving 3 = 14 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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