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Simplifying (57x + 58y) + -1(6x + -8y) = 0 Remove parenthesis around (57x + 58y) 57x + 58y + -1(6x + -8y) = 0 57x + 58y + (6x * -1 + -8y * -1) = 0 57x + 58y + (-6x + 8y) = 0 Reorder the terms: 57x + -6x + 58y + 8y = 0 Combine like terms: 57x + -6x = 51x 51x + 58y + 8y = 0 Combine like terms: 58y + 8y = 66y 51x + 66y = 0 Solving 51x + 66y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66y' to each side of the equation. 51x + 66y + -66y = 0 + -66y Combine like terms: 66y + -66y = 0 51x + 0 = 0 + -66y 51x = 0 + -66y Remove the zero: 51x = -66y Divide each side by '51'. x = -1.294117647y Simplifying x = -1.294117647y
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