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Simplifying 13x + 18y + 10 + 17x + -11y + -12 = 0 Reorder the terms: 10 + -12 + 13x + 17x + 18y + -11y = 0 Combine like terms: 10 + -12 = -2 -2 + 13x + 17x + 18y + -11y = 0 Combine like terms: 13x + 17x = 30x -2 + 30x + 18y + -11y = 0 Combine like terms: 18y + -11y = 7y -2 + 30x + 7y = 0 Solving -2 + 30x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 30x + 2 + 7y = 0 + 2 Reorder the terms: -2 + 2 + 30x + 7y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 30x + 7y = 0 + 2 30x + 7y = 0 + 2 Combine like terms: 0 + 2 = 2 30x + 7y = 2 Add '-7y' to each side of the equation. 30x + 7y + -7y = 2 + -7y Combine like terms: 7y + -7y = 0 30x + 0 = 2 + -7y 30x = 2 + -7y Divide each side by '30'. x = 0.06666666667 + -0.2333333333y Simplifying x = 0.06666666667 + -0.2333333333y
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