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Simplifying 5 + 2(3 + 2x) = x + 3(x + 1) 5 + (3 * 2 + 2x * 2) = x + 3(x + 1) 5 + (6 + 4x) = x + 3(x + 1) Combine like terms: 5 + 6 = 11 11 + 4x = x + 3(x + 1) Reorder the terms: 11 + 4x = x + 3(1 + x) 11 + 4x = x + (1 * 3 + x * 3) 11 + 4x = x + (3 + 3x) Reorder the terms: 11 + 4x = 3 + x + 3x Combine like terms: x + 3x = 4x 11 + 4x = 3 + 4x Add '-4x' to each side of the equation. 11 + 4x + -4x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + 0 = 3 + 4x + -4x 11 = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 11 = 3 + 0 11 = 3 Solving 11 = 3 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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