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Simplifying (85x + -45y) + -1(54 + 27y) = 0 Remove parenthesis around (85x + -45y) 85x + -45y + -1(54 + 27y) = 0 85x + -45y + (54 * -1 + 27y * -1) = 0 85x + -45y + (-54 + -27y) = 0 Reorder the terms: -54 + 85x + -45y + -27y = 0 Combine like terms: -45y + -27y = -72y -54 + 85x + -72y = 0 Solving -54 + 85x + -72y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 85x + 54 + -72y = 0 + 54 Reorder the terms: -54 + 54 + 85x + -72y = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 85x + -72y = 0 + 54 85x + -72y = 0 + 54 Combine like terms: 0 + 54 = 54 85x + -72y = 54 Add '72y' to each side of the equation. 85x + -72y + 72y = 54 + 72y Combine like terms: -72y + 72y = 0 85x + 0 = 54 + 72y 85x = 54 + 72y Divide each side by '85'. x = 0.6352941176 + 0.8470588235y Simplifying x = 0.6352941176 + 0.8470588235y
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