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Simplifying 5(2x + 1) = 3(x + 4) + 7x Reorder the terms: 5(1 + 2x) = 3(x + 4) + 7x (1 * 5 + 2x * 5) = 3(x + 4) + 7x (5 + 10x) = 3(x + 4) + 7x Reorder the terms: 5 + 10x = 3(4 + x) + 7x 5 + 10x = (4 * 3 + x * 3) + 7x 5 + 10x = (12 + 3x) + 7x Combine like terms: 3x + 7x = 10x 5 + 10x = 12 + 10x Add '-10x' to each side of the equation. 5 + 10x + -10x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 0 = 12 + 10x + -10x 5 = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 5 = 12 + 0 5 = 12 Solving 5 = 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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