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Simplifying -2x + 9 + 6x = -3x + 2 Reorder the terms: 9 + -2x + 6x = -3x + 2 Combine like terms: -2x + 6x = 4x 9 + 4x = -3x + 2 Reorder the terms: 9 + 4x = 2 + -3x Solving 9 + 4x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + 4x + 3x = 2 + -3x + 3x Combine like terms: 4x + 3x = 7x 9 + 7x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 7x = 2 + 0 9 + 7x = 2 Add '-9' to each side of the equation. 9 + -9 + 7x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 2 + -9 7x = 2 + -9 Combine like terms: 2 + -9 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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