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Simplifying 2x + 9 = 75 + -6x Reorder the terms: 9 + 2x = 75 + -6x Solving 9 + 2x = 75 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + 2x + 6x = 75 + -6x + 6x Combine like terms: 2x + 6x = 8x 9 + 8x = 75 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 8x = 75 + 0 9 + 8x = 75 Add '-9' to each side of the equation. 9 + -9 + 8x = 75 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 75 + -9 8x = 75 + -9 Combine like terms: 75 + -9 = 66 8x = 66 Divide each side by '8'. x = 8.25 Simplifying x = 8.25
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