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Simplifying 7x + 75 = 2x + 45 Reorder the terms: 75 + 7x = 2x + 45 Reorder the terms: 75 + 7x = 45 + 2x Solving 75 + 7x = 45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 75 + 7x + -2x = 45 + 2x + -2x Combine like terms: 7x + -2x = 5x 75 + 5x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 75 + 5x = 45 + 0 75 + 5x = 45 Add '-75' to each side of the equation. 75 + -75 + 5x = 45 + -75 Combine like terms: 75 + -75 = 0 0 + 5x = 45 + -75 5x = 45 + -75 Combine like terms: 45 + -75 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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