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Simplifying 7(x + 1) + 3 = 2x + 5(3 + x) Reorder the terms: 7(1 + x) + 3 = 2x + 5(3 + x) (1 * 7 + x * 7) + 3 = 2x + 5(3 + x) (7 + 7x) + 3 = 2x + 5(3 + x) Reorder the terms: 7 + 3 + 7x = 2x + 5(3 + x) Combine like terms: 7 + 3 = 10 10 + 7x = 2x + 5(3 + x) 10 + 7x = 2x + (3 * 5 + x * 5) 10 + 7x = 2x + (15 + 5x) Reorder the terms: 10 + 7x = 15 + 2x + 5x Combine like terms: 2x + 5x = 7x 10 + 7x = 15 + 7x Add '-7x' to each side of the equation. 10 + 7x + -7x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 0 = 15 + 7x + -7x 10 = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 10 = 15 + 0 10 = 15 Solving 10 = 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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