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Simplifying 0.33(12 + x) = -48 + 6x (12 * 0.33 + x * 0.33) = -48 + 6x (3.96 + 0.33x) = -48 + 6x Solving 3.96 + 0.33x = -48 + 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. 3.96 + 0.33x + -6x = -48 + 6x + -6x Combine like terms: 0.33x + -6x = -5.67x 3.96 + -5.67x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 3.96 + -5.67x = -48 + 0 3.96 + -5.67x = -48 Add '-3.96' to each side of the equation. 3.96 + -3.96 + -5.67x = -48 + -3.96 Combine like terms: 3.96 + -3.96 = 0.00 0.00 + -5.67x = -48 + -3.96 -5.67x = -48 + -3.96 Combine like terms: -48 + -3.96 = -51.96 -5.67x = -51.96 Divide each side by '-5.67'. x = 9.164021164 Simplifying x = 9.164021164
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