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Simplifying 0.33(x + 5) = 2x + -1.67 Reorder the terms: 0.33(5 + x) = 2x + -1.67 (5 * 0.33 + x * 0.33) = 2x + -1.67 (1.65 + 0.33x) = 2x + -1.67 Reorder the terms: 1.65 + 0.33x = -1.67 + 2x Solving 1.65 + 0.33x = -1.67 + 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. 1.65 + 0.33x + -2x = -1.67 + 2x + -2x Combine like terms: 0.33x + -2x = -1.67x 1.65 + -1.67x = -1.67 + 2x + -2x Combine like terms: 2x + -2x = 0 1.65 + -1.67x = -1.67 + 0 1.65 + -1.67x = -1.67 Add '-1.65' to each side of the equation. 1.65 + -1.65 + -1.67x = -1.67 + -1.65 Combine like terms: 1.65 + -1.65 = 0.00 0.00 + -1.67x = -1.67 + -1.65 -1.67x = -1.67 + -1.65 Combine like terms: -1.67 + -1.65 = -3.32 -1.67x = -3.32 Divide each side by '-1.67'. x = 1.988023952 Simplifying x = 1.988023952
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