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Simplifying 7(x + 2) + 5 = 2x + 5(4 + x) Reorder the terms: 7(2 + x) + 5 = 2x + 5(4 + x) (2 * 7 + x * 7) + 5 = 2x + 5(4 + x) (14 + 7x) + 5 = 2x + 5(4 + x) Reorder the terms: 14 + 5 + 7x = 2x + 5(4 + x) Combine like terms: 14 + 5 = 19 19 + 7x = 2x + 5(4 + x) 19 + 7x = 2x + (4 * 5 + x * 5) 19 + 7x = 2x + (20 + 5x) Reorder the terms: 19 + 7x = 20 + 2x + 5x Combine like terms: 2x + 5x = 7x 19 + 7x = 20 + 7x Add '-7x' to each side of the equation. 19 + 7x + -7x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + 0 = 20 + 7x + -7x 19 = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 19 = 20 + 0 19 = 20 Solving 19 = 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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