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Simplifying 4.217x + -3.67 = 6.33 + -0.783x Reorder the terms: -3.67 + 4.217x = 6.33 + -0.783x Solving -3.67 + 4.217x = 6.33 + -0.783x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.783x' to each side of the equation. -3.67 + 4.217x + 0.783x = 6.33 + -0.783x + 0.783x Combine like terms: 4.217x + 0.783x = 5x -3.67 + 5x = 6.33 + -0.783x + 0.783x Combine like terms: -0.783x + 0.783x = 0.000 -3.67 + 5x = 6.33 + 0.000 -3.67 + 5x = 6.33 Add '3.67' to each side of the equation. -3.67 + 3.67 + 5x = 6.33 + 3.67 Combine like terms: -3.67 + 3.67 = 0.00 0.00 + 5x = 6.33 + 3.67 5x = 6.33 + 3.67 Combine like terms: 6.33 + 3.67 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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