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Simplifying 5x + -75 = 3x + 7 Reorder the terms: -75 + 5x = 3x + 7 Reorder the terms: -75 + 5x = 7 + 3x Solving -75 + 5x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -75 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x -75 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -75 + 2x = 7 + 0 -75 + 2x = 7 Add '75' to each side of the equation. -75 + 75 + 2x = 7 + 75 Combine like terms: -75 + 75 = 0 0 + 2x = 7 + 75 2x = 7 + 75 Combine like terms: 7 + 75 = 82 2x = 82 Divide each side by '2'. x = 41 Simplifying x = 41
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