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