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Simplifying -7 + -5x + 6 = -12x + 9 + -5x Reorder the terms: -7 + 6 + -5x = -12x + 9 + -5x Combine like terms: -7 + 6 = -1 -1 + -5x = -12x + 9 + -5x Reorder the terms: -1 + -5x = 9 + -12x + -5x Combine like terms: -12x + -5x = -17x -1 + -5x = 9 + -17x Solving -1 + -5x = 9 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -1 + -5x + 17x = 9 + -17x + 17x Combine like terms: -5x + 17x = 12x -1 + 12x = 9 + -17x + 17x Combine like terms: -17x + 17x = 0 -1 + 12x = 9 + 0 -1 + 12x = 9 Add '1' to each side of the equation. -1 + 1 + 12x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 9 + 1 12x = 9 + 1 Combine like terms: 9 + 1 = 10 12x = 10 Divide each side by '12'. x = 0.8333333333 Simplifying x = 0.8333333333
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