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Simplifying 5x + 75 = 3x + 17 Reorder the terms: 75 + 5x = 3x + 17 Reorder the terms: 75 + 5x = 17 + 3x Solving 75 + 5x = 17 + 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 = 17 + 3x + -3x Combine like terms: 5x + -3x = 2x 75 + 2x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 75 + 2x = 17 + 0 75 + 2x = 17 Add '-75' to each side of the equation. 75 + -75 + 2x = 17 + -75 Combine like terms: 75 + -75 = 0 0 + 2x = 17 + -75 2x = 17 + -75 Combine like terms: 17 + -75 = -58 2x = -58 Divide each side by '2'. x = -29 Simplifying x = -29
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