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Simplifying 5x + 9 = 75 + -1x Reorder the terms: 9 + 5x = 75 + -1x Solving 9 + 5x = 75 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + 5x + x = 75 + -1x + x Combine like terms: 5x + x = 6x 9 + 6x = 75 + -1x + x Combine like terms: -1x + x = 0 9 + 6x = 75 + 0 9 + 6x = 75 Add '-9' to each side of the equation. 9 + -9 + 6x = 75 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 75 + -9 6x = 75 + -9 Combine like terms: 75 + -9 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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