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Simplifying (52x + 52y) + -1(12x + 30y) = 0 Remove parenthesis around (52x + 52y) 52x + 52y + -1(12x + 30y) = 0 52x + 52y + (12x * -1 + 30y * -1) = 0 52x + 52y + (-12x + -30y) = 0 Reorder the terms: 52x + -12x + 52y + -30y = 0 Combine like terms: 52x + -12x = 40x 40x + 52y + -30y = 0 Combine like terms: 52y + -30y = 22y 40x + 22y = 0 Solving 40x + 22y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22y' to each side of the equation. 40x + 22y + -22y = 0 + -22y Combine like terms: 22y + -22y = 0 40x + 0 = 0 + -22y 40x = 0 + -22y Remove the zero: 40x = -22y Divide each side by '40'. x = -0.55y Simplifying x = -0.55y
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