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Simplifying -10x + -17 = 13 + -12x Reorder the terms: -17 + -10x = 13 + -12x Solving -17 + -10x = 13 + -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. -17 + -10x + 12x = 13 + -12x + 12x Combine like terms: -10x + 12x = 2x -17 + 2x = 13 + -12x + 12x Combine like terms: -12x + 12x = 0 -17 + 2x = 13 + 0 -17 + 2x = 13 Add '17' to each side of the equation. -17 + 17 + 2x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 13 + 17 2x = 13 + 17 Combine like terms: 13 + 17 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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