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Simplifying 45 + 40x = 85 + 30x Solving 45 + 40x = 85 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 45 + 40x + -30x = 85 + 30x + -30x Combine like terms: 40x + -30x = 10x 45 + 10x = 85 + 30x + -30x Combine like terms: 30x + -30x = 0 45 + 10x = 85 + 0 45 + 10x = 85 Add '-45' to each side of the equation. 45 + -45 + 10x = 85 + -45 Combine like terms: 45 + -45 = 0 0 + 10x = 85 + -45 10x = 85 + -45 Combine like terms: 85 + -45 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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