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Simplifying -2x + 75 = 30 + 7x Reorder the terms: 75 + -2x = 30 + 7x Solving 75 + -2x = 30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 75 + -2x + -7x = 30 + 7x + -7x Combine like terms: -2x + -7x = -9x 75 + -9x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 75 + -9x = 30 + 0 75 + -9x = 30 Add '-75' to each side of the equation. 75 + -75 + -9x = 30 + -75 Combine like terms: 75 + -75 = 0 0 + -9x = 30 + -75 -9x = 30 + -75 Combine like terms: 30 + -75 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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