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Simplifying 4x + 9 = 75 + -8x Reorder the terms: 9 + 4x = 75 + -8x Solving 9 + 4x = 75 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 4x + 8x = 75 + -8x + 8x Combine like terms: 4x + 8x = 12x 9 + 12x = 75 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 12x = 75 + 0 9 + 12x = 75 Add '-9' to each side of the equation. 9 + -9 + 12x = 75 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 75 + -9 12x = 75 + -9 Combine like terms: 75 + -9 = 66 12x = 66 Divide each side by '12'. x = 5.5 Simplifying x = 5.5
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