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Simplifying -10x + 7y + 5 + 12x + -1y + 4 = 0 Reorder the terms: 5 + 4 + -10x + 12x + 7y + -1y = 0 Combine like terms: 5 + 4 = 9 9 + -10x + 12x + 7y + -1y = 0 Combine like terms: -10x + 12x = 2x 9 + 2x + 7y + -1y = 0 Combine like terms: 7y + -1y = 6y 9 + 2x + 6y = 0 Solving 9 + 2x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2x + -9 + 6y = 0 + -9 Reorder the terms: 9 + -9 + 2x + 6y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x + 6y = 0 + -9 2x + 6y = 0 + -9 Combine like terms: 0 + -9 = -9 2x + 6y = -9 Add '-6y' to each side of the equation. 2x + 6y + -6y = -9 + -6y Combine like terms: 6y + -6y = 0 2x + 0 = -9 + -6y 2x = -9 + -6y Divide each side by '2'. x = -4.5 + -3y Simplifying x = -4.5 + -3y
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