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Simplifying 0.33x + -6 = 3x + -0.2 Reorder the terms: -6 + 0.33x = 3x + -0.2 Reorder the terms: -6 + 0.33x = -0.2 + 3x Solving -6 + 0.33x = -0.2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 0.33x + -3x = -0.2 + 3x + -3x Combine like terms: 0.33x + -3x = -2.67x -6 + -2.67x = -0.2 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2.67x = -0.2 + 0 -6 + -2.67x = -0.2 Add '6' to each side of the equation. -6 + 6 + -2.67x = -0.2 + 6 Combine like terms: -6 + 6 = 0 0 + -2.67x = -0.2 + 6 -2.67x = -0.2 + 6 Combine like terms: -0.2 + 6 = 5.8 -2.67x = 5.8 Divide each side by '-2.67'. x = -2.172284644 Simplifying x = -2.172284644
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