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Simplifying 45x + -7 = 40x + 3 Reorder the terms: -7 + 45x = 40x + 3 Reorder the terms: -7 + 45x = 3 + 40x Solving -7 + 45x = 3 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -7 + 45x + -40x = 3 + 40x + -40x Combine like terms: 45x + -40x = 5x -7 + 5x = 3 + 40x + -40x Combine like terms: 40x + -40x = 0 -7 + 5x = 3 + 0 -7 + 5x = 3 Add '7' to each side of the equation. -7 + 7 + 5x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 3 + 7 5x = 3 + 7 Combine like terms: 3 + 7 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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