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Simplifying (46x + 87y) + -1(6x + 30y) = 0 Remove parenthesis around (46x + 87y) 46x + 87y + -1(6x + 30y) = 0 46x + 87y + (6x * -1 + 30y * -1) = 0 46x + 87y + (-6x + -30y) = 0 Reorder the terms: 46x + -6x + 87y + -30y = 0 Combine like terms: 46x + -6x = 40x 40x + 87y + -30y = 0 Combine like terms: 87y + -30y = 57y 40x + 57y = 0 Solving 40x + 57y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57y' to each side of the equation. 40x + 57y + -57y = 0 + -57y Combine like terms: 57y + -57y = 0 40x + 0 = 0 + -57y 40x = 0 + -57y Remove the zero: 40x = -57y Divide each side by '40'. x = -1.425y Simplifying x = -1.425y
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