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Simplifying 75x + 29 = 59 + 45x Reorder the terms: 29 + 75x = 59 + 45x Solving 29 + 75x = 59 + 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. 29 + 75x + -45x = 59 + 45x + -45x Combine like terms: 75x + -45x = 30x 29 + 30x = 59 + 45x + -45x Combine like terms: 45x + -45x = 0 29 + 30x = 59 + 0 29 + 30x = 59 Add '-29' to each side of the equation. 29 + -29 + 30x = 59 + -29 Combine like terms: 29 + -29 = 0 0 + 30x = 59 + -29 30x = 59 + -29 Combine like terms: 59 + -29 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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