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Simplifying 0.5(6x + 4) = x + 2(x + 2) Reorder the terms: 0.5(4 + 6x) = x + 2(x + 2) (4 * 0.5 + 6x * 0.5) = x + 2(x + 2) (2 + 3x) = x + 2(x + 2) Reorder the terms: 2 + 3x = x + 2(2 + x) 2 + 3x = x + (2 * 2 + x * 2) 2 + 3x = x + (4 + 2x) Reorder the terms: 2 + 3x = 4 + x + 2x Combine like terms: x + 2x = 3x 2 + 3x = 4 + 3x Add '-3x' to each side of the equation. 2 + 3x + -3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 0 = 4 + 3x + -3x 2 = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 2 = 4 + 0 2 = 4 Solving 2 = 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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