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Simplifying 4x + 0.5(8x + 6) = 2(4x + 3) Reorder the terms: 4x + 0.5(6 + 8x) = 2(4x + 3) 4x + (6 * 0.5 + 8x * 0.5) = 2(4x + 3) 4x + (3 + 4x) = 2(4x + 3) Reorder the terms: 3 + 4x + 4x = 2(4x + 3) Combine like terms: 4x + 4x = 8x 3 + 8x = 2(4x + 3) Reorder the terms: 3 + 8x = 2(3 + 4x) 3 + 8x = (3 * 2 + 4x * 2) 3 + 8x = (6 + 8x) Add '-8x' to each side of the equation. 3 + 8x + -8x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 0 = 6 + 8x + -8x 3 = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 3 = 6 + 0 3 = 6 Solving 3 = 6 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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