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Simplifying -10x + -21 = -12x + 31 Reorder the terms: -21 + -10x = -12x + 31 Reorder the terms: -21 + -10x = 31 + -12x Solving -21 + -10x = 31 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -21 + -10x + 12x = 31 + -12x + 12x Combine like terms: -10x + 12x = 2x -21 + 2x = 31 + -12x + 12x Combine like terms: -12x + 12x = 0 -21 + 2x = 31 + 0 -21 + 2x = 31 Add '21' to each side of the equation. -21 + 21 + 2x = 31 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 31 + 21 2x = 31 + 21 Combine like terms: 31 + 21 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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