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Simplifying 3(x + 2) + 4x + -5 = 7(x + 1) Reorder the terms: 3(2 + x) + 4x + -5 = 7(x + 1) (2 * 3 + x * 3) + 4x + -5 = 7(x + 1) (6 + 3x) + 4x + -5 = 7(x + 1) Reorder the terms: 6 + -5 + 3x + 4x = 7(x + 1) Combine like terms: 6 + -5 = 1 1 + 3x + 4x = 7(x + 1) Combine like terms: 3x + 4x = 7x 1 + 7x = 7(x + 1) Reorder the terms: 1 + 7x = 7(1 + x) 1 + 7x = (1 * 7 + x * 7) 1 + 7x = (7 + 7x) Add '-7x' to each side of the equation. 1 + 7x + -7x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 0 = 7 + 7x + -7x 1 = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 1 = 7 + 0 1 = 7 Solving 1 = 7 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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