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Simplifying 3x + -9 = 7x + -6 + -2x Reorder the terms: -9 + 3x = 7x + -6 + -2x Reorder the terms: -9 + 3x = -6 + 7x + -2x Combine like terms: 7x + -2x = 5x -9 + 3x = -6 + 5x Solving -9 + 3x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 3x + -5x = -6 + 5x + -5x Combine like terms: 3x + -5x = -2x -9 + -2x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -2x = -6 + 0 -9 + -2x = -6 Add '9' to each side of the equation. -9 + 9 + -2x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -6 + 9 -2x = -6 + 9 Combine like terms: -6 + 9 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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