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Simplifying (52x + 51y) + -1(19x + -18y) = 0 Remove parenthesis around (52x + 51y) 52x + 51y + -1(19x + -18y) = 0 52x + 51y + (19x * -1 + -18y * -1) = 0 52x + 51y + (-19x + 18y) = 0 Reorder the terms: 52x + -19x + 51y + 18y = 0 Combine like terms: 52x + -19x = 33x 33x + 51y + 18y = 0 Combine like terms: 51y + 18y = 69y 33x + 69y = 0 Solving 33x + 69y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69y' to each side of the equation. 33x + 69y + -69y = 0 + -69y Combine like terms: 69y + -69y = 0 33x + 0 = 0 + -69y 33x = 0 + -69y Remove the zero: 33x = -69y Divide each side by '33'. x = -2.090909091y Simplifying x = -2.090909091y
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