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Simplifying -5x + -12 + 7x = 15 + -21 Reorder the terms: -12 + -5x + 7x = 15 + -21 Combine like terms: -5x + 7x = 2x -12 + 2x = 15 + -21 Combine like terms: 15 + -21 = -6 -12 + 2x = -6 Solving -12 + 2x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -6 + 12 2x = -6 + 12 Combine like terms: -6 + 12 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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