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Simplifying (12x + -30y) + (48x + 57y) = 0 Remove parenthesis around (12x + -30y) 12x + -30y + (48x + 57y) = 0 Remove parenthesis around (48x + 57y) 12x + -30y + 48x + 57y = 0 Reorder the terms: 12x + 48x + -30y + 57y = 0 Combine like terms: 12x + 48x = 60x 60x + -30y + 57y = 0 Combine like terms: -30y + 57y = 27y 60x + 27y = 0 Solving 60x + 27y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27y' to each side of the equation. 60x + 27y + -27y = 0 + -27y Combine like terms: 27y + -27y = 0 60x + 0 = 0 + -27y 60x = 0 + -27y Remove the zero: 60x = -27y Divide each side by '60'. x = -0.45y Simplifying x = -0.45y
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