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Simplifying (11x + 9y + -4) + -1(10x + -5y + 12) = 0 Reorder the terms: (-4 + 11x + 9y) + -1(10x + -5y + 12) = 0 Remove parenthesis around (-4 + 11x + 9y) -4 + 11x + 9y + -1(10x + -5y + 12) = 0 Reorder the terms: -4 + 11x + 9y + -1(12 + 10x + -5y) = 0 -4 + 11x + 9y + (12 * -1 + 10x * -1 + -5y * -1) = 0 -4 + 11x + 9y + (-12 + -10x + 5y) = 0 Reorder the terms: -4 + -12 + 11x + -10x + 9y + 5y = 0 Combine like terms: -4 + -12 = -16 -16 + 11x + -10x + 9y + 5y = 0 Combine like terms: 11x + -10x = 1x -16 + 1x + 9y + 5y = 0 Combine like terms: 9y + 5y = 14y -16 + 1x + 14y = 0 Solving -16 + 1x + 14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 1x + 16 + 14y = 0 + 16 Reorder the terms: -16 + 16 + 1x + 14y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 1x + 14y = 0 + 16 1x + 14y = 0 + 16 Combine like terms: 0 + 16 = 16 1x + 14y = 16 Add '-14y' to each side of the equation. 1x + 14y + -14y = 16 + -14y Combine like terms: 14y + -14y = 0 1x + 0 = 16 + -14y 1x = 16 + -14y Divide each side by '1'. x = 16 + -14y Simplifying x = 16 + -14y
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