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Simplifying (53x + 53y) + -1(-25x + 16y) = 0 Remove parenthesis around (53x + 53y) 53x + 53y + -1(-25x + 16y) = 0 53x + 53y + (-25x * -1 + 16y * -1) = 0 53x + 53y + (25x + -16y) = 0 Reorder the terms: 53x + 25x + 53y + -16y = 0 Combine like terms: 53x + 25x = 78x 78x + 53y + -16y = 0 Combine like terms: 53y + -16y = 37y 78x + 37y = 0 Solving 78x + 37y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37y' to each side of the equation. 78x + 37y + -37y = 0 + -37y Combine like terms: 37y + -37y = 0 78x + 0 = 0 + -37y 78x = 0 + -37y Remove the zero: 78x = -37y Divide each side by '78'. x = -0.4743589744y Simplifying x = -0.4743589744y
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