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Simplifying 3x + 6 + 2x + -8 = x + -3x + -9 Reorder the terms: 6 + -8 + 3x + 2x = x + -3x + -9 Combine like terms: 6 + -8 = -2 -2 + 3x + 2x = x + -3x + -9 Combine like terms: 3x + 2x = 5x -2 + 5x = x + -3x + -9 Reorder the terms: -2 + 5x = -9 + x + -3x Combine like terms: x + -3x = -2x -2 + 5x = -9 + -2x Solving -2 + 5x = -9 + -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. -2 + 5x + 2x = -9 + -2x + 2x Combine like terms: 5x + 2x = 7x -2 + 7x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 7x = -9 + 0 -2 + 7x = -9 Add '2' to each side of the equation. -2 + 2 + 7x = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = -9 + 2 7x = -9 + 2 Combine like terms: -9 + 2 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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