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Simplifying (76x + -47y) + -1(63x + 13y) = 0 Remove parenthesis around (76x + -47y) 76x + -47y + -1(63x + 13y) = 0 76x + -47y + (63x * -1 + 13y * -1) = 0 76x + -47y + (-63x + -13y) = 0 Reorder the terms: 76x + -63x + -47y + -13y = 0 Combine like terms: 76x + -63x = 13x 13x + -47y + -13y = 0 Combine like terms: -47y + -13y = -60y 13x + -60y = 0 Solving 13x + -60y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60y' to each side of the equation. 13x + -60y + 60y = 0 + 60y Combine like terms: -60y + 60y = 0 13x + 0 = 0 + 60y 13x = 0 + 60y Remove the zero: 13x = 60y Divide each side by '13'. x = 4.615384615y Simplifying x = 4.615384615y
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