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Simplifying 7(x + 1) + 8 = 4x + 3(4 + x) Reorder the terms: 7(1 + x) + 8 = 4x + 3(4 + x) (1 * 7 + x * 7) + 8 = 4x + 3(4 + x) (7 + 7x) + 8 = 4x + 3(4 + x) Reorder the terms: 7 + 8 + 7x = 4x + 3(4 + x) Combine like terms: 7 + 8 = 15 15 + 7x = 4x + 3(4 + x) 15 + 7x = 4x + (4 * 3 + x * 3) 15 + 7x = 4x + (12 + 3x) Reorder the terms: 15 + 7x = 12 + 4x + 3x Combine like terms: 4x + 3x = 7x 15 + 7x = 12 + 7x Add '-7x' to each side of the equation. 15 + 7x + -7x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 0 = 12 + 7x + -7x 15 = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 15 = 12 + 0 15 = 12 Solving 15 = 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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