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Simplifying 0.375x + -0.333x + 6 = 0.1666x Reorder the terms: 6 + 0.375x + -0.333x = 0.1666x Combine like terms: 0.375x + -0.333x = 0.042x 6 + 0.042x = 0.1666x Solving 6 + 0.042x = 0.1666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1666x' to each side of the equation. 6 + 0.042x + -0.1666x = 0.1666x + -0.1666x Combine like terms: 0.042x + -0.1666x = -0.1246x 6 + -0.1246x = 0.1666x + -0.1666x Combine like terms: 0.1666x + -0.1666x = 0.0000 6 + -0.1246x = 0.0000 Add '-6' to each side of the equation. 6 + -6 + -0.1246x = 0.0000 + -6 Combine like terms: 6 + -6 = 0 0 + -0.1246x = 0.0000 + -6 -0.1246x = 0.0000 + -6 Combine like terms: 0.0000 + -6 = -6 -0.1246x = -6 Divide each side by '-0.1246'. x = 48.1540931 Simplifying x = 48.1540931
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