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Simplifying -0.7x + 5.82 = -0.5x + 1.62 Reorder the terms: 5.82 + -0.7x = -0.5x + 1.62 Reorder the terms: 5.82 + -0.7x = 1.62 + -0.5x Solving 5.82 + -0.7x = 1.62 + -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 + -0.7x + 0.5x = 1.62 + -0.5x + 0.5x Combine like terms: -0.7x + 0.5x = -0.2x 5.82 + -0.2x = 1.62 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 5.82 + -0.2x = 1.62 + 0.0 5.82 + -0.2x = 1.62 Add '-5.82' to each side of the equation. 5.82 + -5.82 + -0.2x = 1.62 + -5.82 Combine like terms: 5.82 + -5.82 = 0.00 0.00 + -0.2x = 1.62 + -5.82 -0.2x = 1.62 + -5.82 Combine like terms: 1.62 + -5.82 = -4.2 -0.2x = -4.2 Divide each side by '-0.2'. x = 21 Simplifying x = 21
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