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Simplifying 410 = (35 + x) + (5x + -10) Remove parenthesis around (35 + x) 410 = 35 + x + (5x + -10) Reorder the terms: 410 = 35 + x + (-10 + 5x) Remove parenthesis around (-10 + 5x) 410 = 35 + x + -10 + 5x Reorder the terms: 410 = 35 + -10 + x + 5x Combine like terms: 35 + -10 = 25 410 = 25 + x + 5x Combine like terms: x + 5x = 6x 410 = 25 + 6x Solving 410 = 25 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 410 + -6x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 410 + -6x = 25 + 0 410 + -6x = 25 Add '-410' to each side of the equation. 410 + -410 + -6x = 25 + -410 Combine like terms: 410 + -410 = 0 0 + -6x = 25 + -410 -6x = 25 + -410 Combine like terms: 25 + -410 = -385 -6x = -385 Divide each side by '-6'. x = 64.16666667 Simplifying x = 64.16666667
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