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Simplifying (52x + 49y) + -1(10x + 26y) = 0 Remove parenthesis around (52x + 49y) 52x + 49y + -1(10x + 26y) = 0 52x + 49y + (10x * -1 + 26y * -1) = 0 52x + 49y + (-10x + -26y) = 0 Reorder the terms: 52x + -10x + 49y + -26y = 0 Combine like terms: 52x + -10x = 42x 42x + 49y + -26y = 0 Combine like terms: 49y + -26y = 23y 42x + 23y = 0 Solving 42x + 23y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23y' to each side of the equation. 42x + 23y + -23y = 0 + -23y Combine like terms: 23y + -23y = 0 42x + 0 = 0 + -23y 42x = 0 + -23y Remove the zero: 42x = -23y Divide each side by '42'. x = -0.5476190476y Simplifying x = -0.5476190476y
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