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Simplifying (5.25x + -5.67) + -2.6x = (6.38 + -5.06x) Reorder the terms: (-5.67 + 5.25x) + -2.6x = (6.38 + -5.06x) Remove parenthesis around (-5.67 + 5.25x) -5.67 + 5.25x + -2.6x = (6.38 + -5.06x) Combine like terms: 5.25x + -2.6x = 2.65x -5.67 + 2.65x = (6.38 + -5.06x) Remove parenthesis around (6.38 + -5.06x) -5.67 + 2.65x = 6.38 + -5.06x Solving -5.67 + 2.65x = 6.38 + -5.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.06x' to each side of the equation. -5.67 + 2.65x + 5.06x = 6.38 + -5.06x + 5.06x Combine like terms: 2.65x + 5.06x = 7.71x -5.67 + 7.71x = 6.38 + -5.06x + 5.06x Combine like terms: -5.06x + 5.06x = 0.00 -5.67 + 7.71x = 6.38 + 0.00 -5.67 + 7.71x = 6.38 Add '5.67' to each side of the equation. -5.67 + 5.67 + 7.71x = 6.38 + 5.67 Combine like terms: -5.67 + 5.67 = 0.00 0.00 + 7.71x = 6.38 + 5.67 7.71x = 6.38 + 5.67 Combine like terms: 6.38 + 5.67 = 12.05 7.71x = 12.05 Divide each side by '7.71'. x = 1.562905318 Simplifying x = 1.562905318
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