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Simplifying 30 + 45x = 90 + 35x Solving 30 + 45x = 90 + 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. 30 + 45x + -35x = 90 + 35x + -35x Combine like terms: 45x + -35x = 10x 30 + 10x = 90 + 35x + -35x Combine like terms: 35x + -35x = 0 30 + 10x = 90 + 0 30 + 10x = 90 Add '-30' to each side of the equation. 30 + -30 + 10x = 90 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 90 + -30 10x = 90 + -30 Combine like terms: 90 + -30 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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