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Simplifying 2x = (0.25x + 0.25x) + (0.333x + 2 * 0.333x) + (2 + 6) Combine like terms: 0.25x + 0.25x = 0.5x 2x = (0.5x) + (0.333x + 2 * 0.333x) + (2 + 6) 2x = (0.5x) + (0.333x + 2 * 0.333x) + (2 + 6) Multiply 2 * 0.333 2x = (0.5x) + (0.333x + 0.666x) + (2 + 6) Combine like terms: 0.333x + 0.666x = 0.999x 2x = (0.5x) + (0.999x) + (2 + 6) 2x = (0.5x) + (0.999x) + (2 + 6) Combine like terms: 2 + 6 = 8 2x = (0.5x) + (0.999x) + (8) 2x = (0.5x) + (0.999x) + 8 Reorder the terms: 2x = 8 + (0.5x) + (0.999x) Combine like terms: (0.5x) + (0.999x) = 1.499x 2x = 8 + 1.499x Solving 2x = 8 + 1.499x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.499x' to each side of the equation. 2x + -1.499x = 8 + 1.499x + -1.499x Combine like terms: 2x + -1.499x = 0.501x 0.501x = 8 + 1.499x + -1.499x Combine like terms: 1.499x + -1.499x = 0.000 0.501x = 8 + 0.000 0.501x = 8 Divide each side by '0.501'. x = 15.96806387 Simplifying x = 15.96806387
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