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Simplifying 5x + 8 + -3x + -6 = 12 Reorder the terms: 8 + -6 + 5x + -3x = 12 Combine like terms: 8 + -6 = 2 2 + 5x + -3x = 12 Combine like terms: 5x + -3x = 2x 2 + 2x = 12 Solving 2 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 12 + -2 2x = 12 + -2 Combine like terms: 12 + -2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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