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Simplifying (85x + -46y) + -1(54x + 15y) = 0 Remove parenthesis around (85x + -46y) 85x + -46y + -1(54x + 15y) = 0 85x + -46y + (54x * -1 + 15y * -1) = 0 85x + -46y + (-54x + -15y) = 0 Reorder the terms: 85x + -54x + -46y + -15y = 0 Combine like terms: 85x + -54x = 31x 31x + -46y + -15y = 0 Combine like terms: -46y + -15y = -61y 31x + -61y = 0 Solving 31x + -61y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '61y' to each side of the equation. 31x + -61y + 61y = 0 + 61y Combine like terms: -61y + 61y = 0 31x + 0 = 0 + 61y 31x = 0 + 61y Remove the zero: 31x = 61y Divide each side by '31'. x = 1.967741935y Simplifying x = 1.967741935y
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