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Simplifying 0.2x + -5 = 0.33x + 7 Reorder the terms: -5 + 0.2x = 0.33x + 7 Reorder the terms: -5 + 0.2x = 7 + 0.33x Solving -5 + 0.2x = 7 + 0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33x' to each side of the equation. -5 + 0.2x + -0.33x = 7 + 0.33x + -0.33x Combine like terms: 0.2x + -0.33x = -0.13x -5 + -0.13x = 7 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 -5 + -0.13x = 7 + 0.00 -5 + -0.13x = 7 Add '5' to each side of the equation. -5 + 5 + -0.13x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -0.13x = 7 + 5 -0.13x = 7 + 5 Combine like terms: 7 + 5 = 12 -0.13x = 12 Divide each side by '-0.13'. x = -92.30769231 Simplifying x = -92.30769231
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