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Simplifying (46x + 89y) + -1(20x + 27y) = 0 Remove parenthesis around (46x + 89y) 46x + 89y + -1(20x + 27y) = 0 46x + 89y + (20x * -1 + 27y * -1) = 0 46x + 89y + (-20x + -27y) = 0 Reorder the terms: 46x + -20x + 89y + -27y = 0 Combine like terms: 46x + -20x = 26x 26x + 89y + -27y = 0 Combine like terms: 89y + -27y = 62y 26x + 62y = 0 Solving 26x + 62y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62y' to each side of the equation. 26x + 62y + -62y = 0 + -62y Combine like terms: 62y + -62y = 0 26x + 0 = 0 + -62y 26x = 0 + -62y Remove the zero: 26x = -62y Divide each side by '26'. x = -2.384615385y Simplifying x = -2.384615385y
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