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Simplifying (78x + -49y) + -1(65x + 18y) = 0 Remove parenthesis around (78x + -49y) 78x + -49y + -1(65x + 18y) = 0 78x + -49y + (65x * -1 + 18y * -1) = 0 78x + -49y + (-65x + -18y) = 0 Reorder the terms: 78x + -65x + -49y + -18y = 0 Combine like terms: 78x + -65x = 13x 13x + -49y + -18y = 0 Combine like terms: -49y + -18y = -67y 13x + -67y = 0 Solving 13x + -67y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '67y' to each side of the equation. 13x + -67y + 67y = 0 + 67y Combine like terms: -67y + 67y = 0 13x + 0 = 0 + 67y 13x = 0 + 67y Remove the zero: 13x = 67y Divide each side by '13'. x = 5.153846154y Simplifying x = 5.153846154y
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