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Simplifying 5.75 + 3x = 10.60714285714286 + 2x + 1.142857142857143 Reorder the terms: 5.75 + 3x = 10.60714285714286 + 1.142857142857143 + 2x Combine like terms: 10.60714285714286 + 1.142857142857143 = 11.750000000000003 5.75 + 3x = 11.750000000000003 + 2x Solving 5.75 + 3x = 11.750000000000003 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5.75 + 3x + -2x = 11.750000000000003 + 2x + -2x Combine like terms: 3x + -2x = 1x 5.75 + 1x = 11.750000000000003 + 2x + -2x Combine like terms: 2x + -2x = 0 5.75 + 1x = 11.750000000000003 + 0 5.75 + 1x = 11.750000000000003 Add '-5.75' to each side of the equation. 5.75 + -5.75 + 1x = 11.750000000000003 + -5.75 Combine like terms: 5.75 + -5.75 = 0.00 0.00 + 1x = 11.750000000000003 + -5.75 1x = 11.750000000000003 + -5.75 Combine like terms: 11.750000000000003 + -5.75 = 6.000000000000003 1x = 6.000000000000003 Divide each side by '1'. x = 6 Simplifying x = 6
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