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Simplifying (46x + 64y) + -1(6x + -12y) = 0 Remove parenthesis around (46x + 64y) 46x + 64y + -1(6x + -12y) = 0 46x + 64y + (6x * -1 + -12y * -1) = 0 46x + 64y + (-6x + 12y) = 0 Reorder the terms: 46x + -6x + 64y + 12y = 0 Combine like terms: 46x + -6x = 40x 40x + 64y + 12y = 0 Combine like terms: 64y + 12y = 76y 40x + 76y = 0 Solving 40x + 76y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76y' to each side of the equation. 40x + 76y + -76y = 0 + -76y Combine like terms: 76y + -76y = 0 40x + 0 = 0 + -76y 40x = 0 + -76y Remove the zero: 40x = -76y Divide each side by '40'. x = -1.9y Simplifying x = -1.9y
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