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Simplifying -0.3x + 5.82 = -0.5x + 7.22 Reorder the terms: 5.82 + -0.3x = -0.5x + 7.22 Reorder the terms: 5.82 + -0.3x = 7.22 + -0.5x Solving 5.82 + -0.3x = 7.22 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 5.82 + -0.3x + 0.5x = 7.22 + -0.5x + 0.5x Combine like terms: -0.3x + 0.5x = 0.2x 5.82 + 0.2x = 7.22 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 5.82 + 0.2x = 7.22 + 0.0 5.82 + 0.2x = 7.22 Add '-5.82' to each side of the equation. 5.82 + -5.82 + 0.2x = 7.22 + -5.82 Combine like terms: 5.82 + -5.82 = 0.00 0.00 + 0.2x = 7.22 + -5.82 0.2x = 7.22 + -5.82 Combine like terms: 7.22 + -5.82 = 1.4 0.2x = 1.4 Divide each side by '0.2'. x = 7 Simplifying x = 7
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