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Simplifying 0.71429(x + 7) = 0.28571x + 23 Reorder the terms: 0.71429(7 + x) = 0.28571x + 23 (7 * 0.71429 + x * 0.71429) = 0.28571x + 23 (5.00003 + 0.71429x) = 0.28571x + 23 Reorder the terms: 5.00003 + 0.71429x = 23 + 0.28571x Solving 5.00003 + 0.71429x = 23 + 0.28571x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.28571x' to each side of the equation. 5.00003 + 0.71429x + -0.28571x = 23 + 0.28571x + -0.28571x Combine like terms: 0.71429x + -0.28571x = 0.42858x 5.00003 + 0.42858x = 23 + 0.28571x + -0.28571x Combine like terms: 0.28571x + -0.28571x = 0.00000 5.00003 + 0.42858x = 23 + 0.00000 5.00003 + 0.42858x = 23 Add '-5.00003' to each side of the equation. 5.00003 + -5.00003 + 0.42858x = 23 + -5.00003 Combine like terms: 5.00003 + -5.00003 = 0.00000 0.00000 + 0.42858x = 23 + -5.00003 0.42858x = 23 + -5.00003 Combine like terms: 23 + -5.00003 = 17.99997 0.42858x = 17.99997 Divide each side by '0.42858'. x = 41.99909002 Simplifying x = 41.99909002
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