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Simplifying (65x + 60y) + -1(19x + -18y) = 0 Remove parenthesis around (65x + 60y) 65x + 60y + -1(19x + -18y) = 0 65x + 60y + (19x * -1 + -18y * -1) = 0 65x + 60y + (-19x + 18y) = 0 Reorder the terms: 65x + -19x + 60y + 18y = 0 Combine like terms: 65x + -19x = 46x 46x + 60y + 18y = 0 Combine like terms: 60y + 18y = 78y 46x + 78y = 0 Solving 46x + 78y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78y' to each side of the equation. 46x + 78y + -78y = 0 + -78y Combine like terms: 78y + -78y = 0 46x + 0 = 0 + -78y 46x = 0 + -78y Remove the zero: 46x = -78y Divide each side by '46'. x = -1.695652174y Simplifying x = -1.695652174y
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