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Simplifying (3x + -5y) + -1(8x + 18y) = 0 Remove parenthesis around (3x + -5y) 3x + -5y + -1(8x + 18y) = 0 3x + -5y + (8x * -1 + 18y * -1) = 0 3x + -5y + (-8x + -18y) = 0 Reorder the terms: 3x + -8x + -5y + -18y = 0 Combine like terms: 3x + -8x = -5x -5x + -5y + -18y = 0 Combine like terms: -5y + -18y = -23y -5x + -23y = 0 Solving -5x + -23y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23y' to each side of the equation. -5x + -23y + 23y = 0 + 23y Combine like terms: -23y + 23y = 0 -5x + 0 = 0 + 23y -5x = 0 + 23y Remove the zero: -5x = 23y Divide each side by '-5'. x = -4.6y Simplifying x = -4.6y
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