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Simplifying 2x + 75 = 7x + 40 Reorder the terms: 75 + 2x = 7x + 40 Reorder the terms: 75 + 2x = 40 + 7x Solving 75 + 2x = 40 + 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 = 40 + 7x + -7x Combine like terms: 2x + -7x = -5x 75 + -5x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 75 + -5x = 40 + 0 75 + -5x = 40 Add '-75' to each side of the equation. 75 + -75 + -5x = 40 + -75 Combine like terms: 75 + -75 = 0 0 + -5x = 40 + -75 -5x = 40 + -75 Combine like terms: 40 + -75 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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