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Simplifying (79x + -49y) + -1(54x + 16y) = 0 Remove parenthesis around (79x + -49y) 79x + -49y + -1(54x + 16y) = 0 79x + -49y + (54x * -1 + 16y * -1) = 0 79x + -49y + (-54x + -16y) = 0 Reorder the terms: 79x + -54x + -49y + -16y = 0 Combine like terms: 79x + -54x = 25x 25x + -49y + -16y = 0 Combine like terms: -49y + -16y = -65y 25x + -65y = 0 Solving 25x + -65y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65y' to each side of the equation. 25x + -65y + 65y = 0 + 65y Combine like terms: -65y + 65y = 0 25x + 0 = 0 + 65y 25x = 0 + 65y Remove the zero: 25x = 65y Divide each side by '25'. x = 2.6y Simplifying x = 2.6y
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