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Simplifying 0.67x + -0.62 = 12.82 + -4.93x Reorder the terms: -0.62 + 0.67x = 12.82 + -4.93x Solving -0.62 + 0.67x = 12.82 + -4.93x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.93x' to each side of the equation. -0.62 + 0.67x + 4.93x = 12.82 + -4.93x + 4.93x Combine like terms: 0.67x + 4.93x = 5.6x -0.62 + 5.6x = 12.82 + -4.93x + 4.93x Combine like terms: -4.93x + 4.93x = 0.00 -0.62 + 5.6x = 12.82 + 0.00 -0.62 + 5.6x = 12.82 Add '0.62' to each side of the equation. -0.62 + 0.62 + 5.6x = 12.82 + 0.62 Combine like terms: -0.62 + 0.62 = 0.00 0.00 + 5.6x = 12.82 + 0.62 5.6x = 12.82 + 0.62 Combine like terms: 12.82 + 0.62 = 13.44 5.6x = 13.44 Divide each side by '5.6'. x = 2.4 Simplifying x = 2.4
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