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Simplifying 5x + 40 = 340 + -45x Reorder the terms: 40 + 5x = 340 + -45x Solving 40 + 5x = 340 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 40 + 5x + 45x = 340 + -45x + 45x Combine like terms: 5x + 45x = 50x 40 + 50x = 340 + -45x + 45x Combine like terms: -45x + 45x = 0 40 + 50x = 340 + 0 40 + 50x = 340 Add '-40' to each side of the equation. 40 + -40 + 50x = 340 + -40 Combine like terms: 40 + -40 = 0 0 + 50x = 340 + -40 50x = 340 + -40 Combine like terms: 340 + -40 = 300 50x = 300 Divide each side by '50'. x = 6 Simplifying x = 6
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