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Simplifying 40 + 30x = 25 + 25 + 25 + 25x Combine like terms: 25 + 25 = 50 40 + 30x = 50 + 25 + 25x Combine like terms: 50 + 25 = 75 40 + 30x = 75 + 25x Solving 40 + 30x = 75 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 40 + 30x + -25x = 75 + 25x + -25x Combine like terms: 30x + -25x = 5x 40 + 5x = 75 + 25x + -25x Combine like terms: 25x + -25x = 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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