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Simplifying (21x + -23y) + (38x + 53y) = 0 Remove parenthesis around (21x + -23y) 21x + -23y + (38x + 53y) = 0 Remove parenthesis around (38x + 53y) 21x + -23y + 38x + 53y = 0 Reorder the terms: 21x + 38x + -23y + 53y = 0 Combine like terms: 21x + 38x = 59x 59x + -23y + 53y = 0 Combine like terms: -23y + 53y = 30y 59x + 30y = 0 Solving 59x + 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. 59x + 30y + -30y = 0 + -30y Combine like terms: 30y + -30y = 0 59x + 0 = 0 + -30y 59x = 0 + -30y Remove the zero: 59x = -30y Divide each side by '59'. x = -0.5084745763y Simplifying x = -0.5084745763y
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