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Simplifying 0.20x + -0.167x + 1 = 6x Reorder the terms: 1 + 0.20x + -0.167x = 6x Combine like terms: 0.20x + -0.167x = 0.033x 1 + 0.033x = 6x Solving 1 + 0.033x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 0.033x + -6x = 6x + -6x Combine like terms: 0.033x + -6x = -5.967x 1 + -5.967x = 6x + -6x Combine like terms: 6x + -6x = 0 1 + -5.967x = 0 Add '-1' to each side of the equation. 1 + -1 + -5.967x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5.967x = 0 + -1 -5.967x = 0 + -1 Combine like terms: 0 + -1 = -1 -5.967x = -1 Divide each side by '-5.967'. x = 0.1675884029 Simplifying x = 0.1675884029
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