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Simplifying (4x + 7y + 17) + (6x + -8y + -11) = 0 Reorder the terms: (17 + 4x + 7y) + (6x + -8y + -11) = 0 Remove parenthesis around (17 + 4x + 7y) 17 + 4x + 7y + (6x + -8y + -11) = 0 Reorder the terms: 17 + 4x + 7y + (-11 + 6x + -8y) = 0 Remove parenthesis around (-11 + 6x + -8y) 17 + 4x + 7y + -11 + 6x + -8y = 0 Reorder the terms: 17 + -11 + 4x + 6x + 7y + -8y = 0 Combine like terms: 17 + -11 = 6 6 + 4x + 6x + 7y + -8y = 0 Combine like terms: 4x + 6x = 10x 6 + 10x + 7y + -8y = 0 Combine like terms: 7y + -8y = -1y 6 + 10x + -1y = 0 Solving 6 + 10x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 10x + -6 + -1y = 0 + -6 Reorder the terms: 6 + -6 + 10x + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 10x + -1y = 0 + -6 10x + -1y = 0 + -6 Combine like terms: 0 + -6 = -6 10x + -1y = -6 Add 'y' to each side of the equation. 10x + -1y + y = -6 + y Combine like terms: -1y + y = 0 10x + 0 = -6 + y 10x = -6 + y Divide each side by '10'. x = -0.6 + 0.1y Simplifying x = -0.6 + 0.1y
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