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Simplifying 4(x + 2) + x = 5(x + 3) Reorder the terms: 4(2 + x) + x = 5(x + 3) (2 * 4 + x * 4) + x = 5(x + 3) (8 + 4x) + x = 5(x + 3) Combine like terms: 4x + x = 5x 8 + 5x = 5(x + 3) Reorder the terms: 8 + 5x = 5(3 + x) 8 + 5x = (3 * 5 + x * 5) 8 + 5x = (15 + 5x) Add '-5x' to each side of the equation. 8 + 5x + -5x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 0 = 15 + 5x + -5x 8 = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 8 = 15 + 0 8 = 15 Solving 8 = 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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