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Simplifying 3x + 7(500 + x) = 589x + 234(23 + x) 3x + (500 * 7 + x * 7) = 589x + 234(23 + x) 3x + (3500 + 7x) = 589x + 234(23 + x) Reorder the terms: 3500 + 3x + 7x = 589x + 234(23 + x) Combine like terms: 3x + 7x = 10x 3500 + 10x = 589x + 234(23 + x) 3500 + 10x = 589x + (23 * 234 + x * 234) 3500 + 10x = 589x + (5382 + 234x) Reorder the terms: 3500 + 10x = 5382 + 589x + 234x Combine like terms: 589x + 234x = 823x 3500 + 10x = 5382 + 823x Solving 3500 + 10x = 5382 + 823x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-823x' to each side of the equation. 3500 + 10x + -823x = 5382 + 823x + -823x Combine like terms: 10x + -823x = -813x 3500 + -813x = 5382 + 823x + -823x Combine like terms: 823x + -823x = 0 3500 + -813x = 5382 + 0 3500 + -813x = 5382 Add '-3500' to each side of the equation. 3500 + -3500 + -813x = 5382 + -3500 Combine like terms: 3500 + -3500 = 0 0 + -813x = 5382 + -3500 -813x = 5382 + -3500 Combine like terms: 5382 + -3500 = 1882 -813x = 1882 Divide each side by '-813'. x = -2.314883149 Simplifying x = -2.314883149
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