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Simplifying (54x + 63y) + -1(18x + 29y) = 0 Remove parenthesis around (54x + 63y) 54x + 63y + -1(18x + 29y) = 0 54x + 63y + (18x * -1 + 29y * -1) = 0 54x + 63y + (-18x + -29y) = 0 Reorder the terms: 54x + -18x + 63y + -29y = 0 Combine like terms: 54x + -18x = 36x 36x + 63y + -29y = 0 Combine like terms: 63y + -29y = 34y 36x + 34y = 0 Solving 36x + 34y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34y' to each side of the equation. 36x + 34y + -34y = 0 + -34y Combine like terms: 34y + -34y = 0 36x + 0 = 0 + -34y 36x = 0 + -34y Remove the zero: 36x = -34y Divide each side by '36'. x = -0.9444444444y Simplifying x = -0.9444444444y
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