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Simplifying 7(x + 3) + 2 = 3x + 4(5 + x) Reorder the terms: 7(3 + x) + 2 = 3x + 4(5 + x) (3 * 7 + x * 7) + 2 = 3x + 4(5 + x) (21 + 7x) + 2 = 3x + 4(5 + x) Reorder the terms: 21 + 2 + 7x = 3x + 4(5 + x) Combine like terms: 21 + 2 = 23 23 + 7x = 3x + 4(5 + x) 23 + 7x = 3x + (5 * 4 + x * 4) 23 + 7x = 3x + (20 + 4x) Reorder the terms: 23 + 7x = 20 + 3x + 4x Combine like terms: 3x + 4x = 7x 23 + 7x = 20 + 7x Add '-7x' to each side of the equation. 23 + 7x + -7x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 23 + 0 = 20 + 7x + -7x 23 = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 23 = 20 + 0 23 = 20 Solving 23 = 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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