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Simplifying 7(x + 4) + -7 = 2x + 5(4 + x) Reorder the terms: 7(4 + x) + -7 = 2x + 5(4 + x) (4 * 7 + x * 7) + -7 = 2x + 5(4 + x) (28 + 7x) + -7 = 2x + 5(4 + x) Reorder the terms: 28 + -7 + 7x = 2x + 5(4 + x) Combine like terms: 28 + -7 = 21 21 + 7x = 2x + 5(4 + x) 21 + 7x = 2x + (4 * 5 + x * 5) 21 + 7x = 2x + (20 + 5x) Reorder the terms: 21 + 7x = 20 + 2x + 5x Combine like terms: 2x + 5x = 7x 21 + 7x = 20 + 7x Add '-7x' to each side of the equation. 21 + 7x + -7x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 21 + 0 = 20 + 7x + -7x 21 = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 21 = 20 + 0 21 = 20 Solving 21 = 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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