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Simplifying 4(x + 2) + 7 = 2x + 2(5 + x) Reorder the terms: 4(2 + x) + 7 = 2x + 2(5 + x) (2 * 4 + x * 4) + 7 = 2x + 2(5 + x) (8 + 4x) + 7 = 2x + 2(5 + x) Reorder the terms: 8 + 7 + 4x = 2x + 2(5 + x) Combine like terms: 8 + 7 = 15 15 + 4x = 2x + 2(5 + x) 15 + 4x = 2x + (5 * 2 + x * 2) 15 + 4x = 2x + (10 + 2x) Reorder the terms: 15 + 4x = 10 + 2x + 2x Combine like terms: 2x + 2x = 4x 15 + 4x = 10 + 4x Add '-4x' to each side of the equation. 15 + 4x + -4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 0 = 10 + 4x + -4x 15 = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 15 = 10 + 0 15 = 10 Solving 15 = 10 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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