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Simplifying (4x + -5y) + -1(3x + 8y) = 0 Remove parenthesis around (4x + -5y) 4x + -5y + -1(3x + 8y) = 0 4x + -5y + (3x * -1 + 8y * -1) = 0 4x + -5y + (-3x + -8y) = 0 Reorder the terms: 4x + -3x + -5y + -8y = 0 Combine like terms: 4x + -3x = 1x 1x + -5y + -8y = 0 Combine like terms: -5y + -8y = -13y 1x + -13y = 0 Solving 1x + -13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. 1x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 1x + 0 = 0 + 13y 1x = 0 + 13y Remove the zero: 1x = 13y Divide each side by '1'. x = 13y Simplifying x = 13y
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