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Simplifying 0.333x + 0.333(2x + -15) = 3 * 0.5 Reorder the terms: 0.333x + 0.333(-15 + 2x) = 3 * 0.5 0.333x + (-15 * 0.333 + 2x * 0.333) = 3 * 0.5 0.333x + (-4.995 + 0.666x) = 3 * 0.5 Reorder the terms: -4.995 + 0.333x + 0.666x = 3 * 0.5 Combine like terms: 0.333x + 0.666x = 0.999x -4.995 + 0.999x = 3 * 0.5 Multiply 3 * 0.5 -4.995 + 0.999x = 1.5 Solving -4.995 + 0.999x = 1.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.995' to each side of the equation. -4.995 + 4.995 + 0.999x = 1.5 + 4.995 Combine like terms: -4.995 + 4.995 = 0.000 0.000 + 0.999x = 1.5 + 4.995 0.999x = 1.5 + 4.995 Combine like terms: 1.5 + 4.995 = 6.495 0.999x = 6.495 Divide each side by '0.999'. x = 6.501501502 Simplifying x = 6.501501502
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