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Simplifying 7(x + 2) + -2 = 2x + 5(3 + x) Reorder the terms: 7(2 + x) + -2 = 2x + 5(3 + x) (2 * 7 + x * 7) + -2 = 2x + 5(3 + x) (14 + 7x) + -2 = 2x + 5(3 + x) Reorder the terms: 14 + -2 + 7x = 2x + 5(3 + x) Combine like terms: 14 + -2 = 12 12 + 7x = 2x + 5(3 + x) 12 + 7x = 2x + (3 * 5 + x * 5) 12 + 7x = 2x + (15 + 5x) Reorder the terms: 12 + 7x = 15 + 2x + 5x Combine like terms: 2x + 5x = 7x 12 + 7x = 15 + 7x Add '-7x' to each side of the equation. 12 + 7x + -7x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + 0 = 15 + 7x + -7x 12 = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 12 = 15 + 0 12 = 15 Solving 12 = 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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