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Simplifying (5x + 8y) + -1(2x + -4y) = 0 Remove parenthesis around (5x + 8y) 5x + 8y + -1(2x + -4y) = 0 5x + 8y + (2x * -1 + -4y * -1) = 0 5x + 8y + (-2x + 4y) = 0 Reorder the terms: 5x + -2x + 8y + 4y = 0 Combine like terms: 5x + -2x = 3x 3x + 8y + 4y = 0 Combine like terms: 8y + 4y = 12y 3x + 12y = 0 Solving 3x + 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. 3x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 3x + 0 = 0 + -12y 3x = 0 + -12y Remove the zero: 3x = -12y Divide each side by '3'. x = -4y Simplifying x = -4y
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