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Simplifying 415 = 15x + 20(x + 5) Reorder the terms: 415 = 15x + 20(5 + x) 415 = 15x + (5 * 20 + x * 20) 415 = 15x + (100 + 20x) Reorder the terms: 415 = 100 + 15x + 20x Combine like terms: 15x + 20x = 35x 415 = 100 + 35x Solving 415 = 100 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 415 + -35x = 100 + 35x + -35x Combine like terms: 35x + -35x = 0 415 + -35x = 100 + 0 415 + -35x = 100 Add '-415' to each side of the equation. 415 + -415 + -35x = 100 + -415 Combine like terms: 415 + -415 = 0 0 + -35x = 100 + -415 -35x = 100 + -415 Combine like terms: 100 + -415 = -315 -35x = -315 Divide each side by '-35'. x = 9 Simplifying x = 9
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