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Simplifying 415 = 6x + (x + 100) Reorder the terms: 415 = 6x + (100 + x) Remove parenthesis around (100 + x) 415 = 6x + 100 + x Reorder the terms: 415 = 100 + 6x + x Combine like terms: 6x + x = 7x 415 = 100 + 7x Solving 415 = 100 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 415 + -7x = 100 + 7x + -7x Combine like terms: 7x + -7x = 0 415 + -7x = 100 + 0 415 + -7x = 100 Add '-415' to each side of the equation. 415 + -415 + -7x = 100 + -415 Combine like terms: 415 + -415 = 0 0 + -7x = 100 + -415 -7x = 100 + -415 Combine like terms: 100 + -415 = -315 -7x = -315 Divide each side by '-7'. x = 45 Simplifying x = 45
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