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Simplifying 0.5(4x + 6) = 2(x + 5) Reorder the terms: 0.5(6 + 4x) = 2(x + 5) (6 * 0.5 + 4x * 0.5) = 2(x + 5) (3 + 2x) = 2(x + 5) Reorder the terms: 3 + 2x = 2(5 + x) 3 + 2x = (5 * 2 + x * 2) 3 + 2x = (10 + 2x) Add '-2x' to each side of the equation. 3 + 2x + -2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 0 = 10 + 2x + -2x 3 = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 3 = 10 + 0 3 = 10 Solving 3 = 10 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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