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