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Simplifying -10x + 13 + 12x + -21 = -6 Reorder the terms: 13 + -21 + -10x + 12x = -6 Combine like terms: 13 + -21 = -8 -8 + -10x + 12x = -6 Combine like terms: -10x + 12x = 2x -8 + 2x = -6 Solving -8 + 2x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -6 + 8 2x = -6 + 8 Combine like terms: -6 + 8 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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