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Simplifying 2x + 33 = 75 + -5x Reorder the terms: 33 + 2x = 75 + -5x Solving 33 + 2x = 75 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 33 + 2x + 5x = 75 + -5x + 5x Combine like terms: 2x + 5x = 7x 33 + 7x = 75 + -5x + 5x Combine like terms: -5x + 5x = 0 33 + 7x = 75 + 0 33 + 7x = 75 Add '-33' to each side of the equation. 33 + -33 + 7x = 75 + -33 Combine like terms: 33 + -33 = 0 0 + 7x = 75 + -33 7x = 75 + -33 Combine like terms: 75 + -33 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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