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Simplifying (80x + 60y) + -1(2x + 30y) = 0 Remove parenthesis around (80x + 60y) 80x + 60y + -1(2x + 30y) = 0 80x + 60y + (2x * -1 + 30y * -1) = 0 80x + 60y + (-2x + -30y) = 0 Reorder the terms: 80x + -2x + 60y + -30y = 0 Combine like terms: 80x + -2x = 78x 78x + 60y + -30y = 0 Combine like terms: 60y + -30y = 30y 78x + 30y = 0 Solving 78x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. 78x + 30y + -30y = 0 + -30y Combine like terms: 30y + -30y = 0 78x + 0 = 0 + -30y 78x = 0 + -30y Remove the zero: 78x = -30y Divide each side by '78'. x = -0.3846153846y Simplifying x = -0.3846153846y
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