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Simplifying 6x + -9 + 3x = 75 + 2x Reorder the terms: -9 + 6x + 3x = 75 + 2x Combine like terms: 6x + 3x = 9x -9 + 9x = 75 + 2x Solving -9 + 9x = 75 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 9x + -2x = 75 + 2x + -2x Combine like terms: 9x + -2x = 7x -9 + 7x = 75 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 7x = 75 + 0 -9 + 7x = 75 Add '9' to each side of the equation. -9 + 9 + 7x = 75 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 75 + 9 7x = 75 + 9 Combine like terms: 75 + 9 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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