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Simplifying (22x + -12y) + 3(8y + -2x) = 0 Remove parenthesis around (22x + -12y) 22x + -12y + 3(8y + -2x) = 0 Reorder the terms: 22x + -12y + 3(-2x + 8y) = 0 22x + -12y + (-2x * 3 + 8y * 3) = 0 22x + -12y + (-6x + 24y) = 0 Reorder the terms: 22x + -6x + -12y + 24y = 0 Combine like terms: 22x + -6x = 16x 16x + -12y + 24y = 0 Combine like terms: -12y + 24y = 12y 16x + 12y = 0 Solving 16x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 16x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 16x + 0 = 0 + -12y 16x = 0 + -12y Remove the zero: 16x = -12y Divide each side by '16'. x = -0.75y Simplifying x = -0.75y
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