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Simplifying (51x + 77y) + -1(-28x + 13y) = 0 Remove parenthesis around (51x + 77y) 51x + 77y + -1(-28x + 13y) = 0 51x + 77y + (-28x * -1 + 13y * -1) = 0 51x + 77y + (28x + -13y) = 0 Reorder the terms: 51x + 28x + 77y + -13y = 0 Combine like terms: 51x + 28x = 79x 79x + 77y + -13y = 0 Combine like terms: 77y + -13y = 64y 79x + 64y = 0 Solving 79x + 64y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64y' to each side of the equation. 79x + 64y + -64y = 0 + -64y Combine like terms: 64y + -64y = 0 79x + 0 = 0 + -64y 79x = 0 + -64y Remove the zero: 79x = -64y Divide each side by '79'. x = -0.8101265823y Simplifying x = -0.8101265823y
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