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