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Simplifying (72x + 52y) + -1(12x + 36y) = 0 Remove parenthesis around (72x + 52y) 72x + 52y + -1(12x + 36y) = 0 72x + 52y + (12x * -1 + 36y * -1) = 0 72x + 52y + (-12x + -36y) = 0 Reorder the terms: 72x + -12x + 52y + -36y = 0 Combine like terms: 72x + -12x = 60x 60x + 52y + -36y = 0 Combine like terms: 52y + -36y = 16y 60x + 16y = 0 Solving 60x + 16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. 60x + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 60x + 0 = 0 + -16y 60x = 0 + -16y Remove the zero: 60x = -16y Divide each side by '60'. x = -0.2666666667y Simplifying x = -0.2666666667y
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