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Simplifying 7(x + 3) + 1 = 2x + 5(4 + x) Reorder the terms: 7(3 + x) + 1 = 2x + 5(4 + x) (3 * 7 + x * 7) + 1 = 2x + 5(4 + x) (21 + 7x) + 1 = 2x + 5(4 + x) Reorder the terms: 21 + 1 + 7x = 2x + 5(4 + x) Combine like terms: 21 + 1 = 22 22 + 7x = 2x + 5(4 + x) 22 + 7x = 2x + (4 * 5 + x * 5) 22 + 7x = 2x + (20 + 5x) Reorder the terms: 22 + 7x = 20 + 2x + 5x Combine like terms: 2x + 5x = 7x 22 + 7x = 20 + 7x Add '-7x' to each side of the equation. 22 + 7x + -7x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + 0 = 20 + 7x + -7x 22 = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 22 = 20 + 0 22 = 20 Solving 22 = 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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