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Simplifying 10x + 9y + 15 + 5x + -5y + -14 = 0 Reorder the terms: 15 + -14 + 10x + 5x + 9y + -5y = 0 Combine like terms: 15 + -14 = 1 1 + 10x + 5x + 9y + -5y = 0 Combine like terms: 10x + 5x = 15x 1 + 15x + 9y + -5y = 0 Combine like terms: 9y + -5y = 4y 1 + 15x + 4y = 0 Solving 1 + 15x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 15x + -1 + 4y = 0 + -1 Reorder the terms: 1 + -1 + 15x + 4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 15x + 4y = 0 + -1 15x + 4y = 0 + -1 Combine like terms: 0 + -1 = -1 15x + 4y = -1 Add '-4y' to each side of the equation. 15x + 4y + -4y = -1 + -4y Combine like terms: 4y + -4y = 0 15x + 0 = -1 + -4y 15x = -1 + -4y Divide each side by '15'. x = -0.06666666667 + -0.2666666667y Simplifying x = -0.06666666667 + -0.2666666667y
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