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Simplifying 7(x + 1) + 6 = 3x + 4(3 + x) Reorder the terms: 7(1 + x) + 6 = 3x + 4(3 + x) (1 * 7 + x * 7) + 6 = 3x + 4(3 + x) (7 + 7x) + 6 = 3x + 4(3 + x) Reorder the terms: 7 + 6 + 7x = 3x + 4(3 + x) Combine like terms: 7 + 6 = 13 13 + 7x = 3x + 4(3 + x) 13 + 7x = 3x + (3 * 4 + x * 4) 13 + 7x = 3x + (12 + 4x) Reorder the terms: 13 + 7x = 12 + 3x + 4x Combine like terms: 3x + 4x = 7x 13 + 7x = 12 + 7x Add '-7x' to each side of the equation. 13 + 7x + -7x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + 0 = 12 + 7x + -7x 13 = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 13 = 12 + 0 13 = 12 Solving 13 = 12 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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