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Simplifying 0.33(x + -9) = 2x + 7 Reorder the terms: 0.33(-9 + x) = 2x + 7 (-9 * 0.33 + x * 0.33) = 2x + 7 (-2.97 + 0.33x) = 2x + 7 Reorder the terms: -2.97 + 0.33x = 7 + 2x Solving -2.97 + 0.33x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2.97 + 0.33x + -2x = 7 + 2x + -2x Combine like terms: 0.33x + -2x = -1.67x -2.97 + -1.67x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -2.97 + -1.67x = 7 + 0 -2.97 + -1.67x = 7 Add '2.97' to each side of the equation. -2.97 + 2.97 + -1.67x = 7 + 2.97 Combine like terms: -2.97 + 2.97 = 0.00 0.00 + -1.67x = 7 + 2.97 -1.67x = 7 + 2.97 Combine like terms: 7 + 2.97 = 9.97 -1.67x = 9.97 Divide each side by '-1.67'. x = -5.97005988 Simplifying x = -5.97005988
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