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Simplifying 4(x + 2) = 2x + 2(x + 1) Reorder the terms: 4(2 + x) = 2x + 2(x + 1) (2 * 4 + x * 4) = 2x + 2(x + 1) (8 + 4x) = 2x + 2(x + 1) Reorder the terms: 8 + 4x = 2x + 2(1 + x) 8 + 4x = 2x + (1 * 2 + x * 2) 8 + 4x = 2x + (2 + 2x) Reorder the terms: 8 + 4x = 2 + 2x + 2x Combine like terms: 2x + 2x = 4x 8 + 4x = 2 + 4x Add '-4x' to each side of the equation. 8 + 4x + -4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 0 = 2 + 4x + -4x 8 = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 8 = 2 + 0 8 = 2 Solving 8 = 2 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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