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