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Simplifying (53x + 64y) + -1(5x + -25y) = 0 Remove parenthesis around (53x + 64y) 53x + 64y + -1(5x + -25y) = 0 53x + 64y + (5x * -1 + -25y * -1) = 0 53x + 64y + (-5x + 25y) = 0 Reorder the terms: 53x + -5x + 64y + 25y = 0 Combine like terms: 53x + -5x = 48x 48x + 64y + 25y = 0 Combine like terms: 64y + 25y = 89y 48x + 89y = 0 Solving 48x + 89y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-89y' to each side of the equation. 48x + 89y + -89y = 0 + -89y Combine like terms: 89y + -89y = 0 48x + 0 = 0 + -89y 48x = 0 + -89y Remove the zero: 48x = -89y Divide each side by '48'. x = -1.854166667y Simplifying x = -1.854166667y
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