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Simplifying 2 + -0.2(2x + -6) = 0.33x + 3 + 0.066x Reorder the terms: 2 + -0.2(-6 + 2x) = 0.33x + 3 + 0.066x 2 + (-6 * -0.2 + 2x * -0.2) = 0.33x + 3 + 0.066x 2 + (1.2 + -0.4x) = 0.33x + 3 + 0.066x Combine like terms: 2 + 1.2 = 3.2 3.2 + -0.4x = 0.33x + 3 + 0.066x Reorder the terms: 3.2 + -0.4x = 3 + 0.33x + 0.066x Combine like terms: 0.33x + 0.066x = 0.396x 3.2 + -0.4x = 3 + 0.396x Solving 3.2 + -0.4x = 3 + 0.396x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.396x' to each side of the equation. 3.2 + -0.4x + -0.396x = 3 + 0.396x + -0.396x Combine like terms: -0.4x + -0.396x = -0.796x 3.2 + -0.796x = 3 + 0.396x + -0.396x Combine like terms: 0.396x + -0.396x = 0.000 3.2 + -0.796x = 3 + 0.000 3.2 + -0.796x = 3 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -0.796x = 3 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -0.796x = 3 + -3.2 -0.796x = 3 + -3.2 Combine like terms: 3 + -3.2 = -0.2 -0.796x = -0.2 Divide each side by '-0.796'. x = 0.2512562814 Simplifying x = 0.2512562814
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