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Simplifying (23x + 45y) + -1(17x + 32y) = 0 Remove parenthesis around (23x + 45y) 23x + 45y + -1(17x + 32y) = 0 23x + 45y + (17x * -1 + 32y * -1) = 0 23x + 45y + (-17x + -32y) = 0 Reorder the terms: 23x + -17x + 45y + -32y = 0 Combine like terms: 23x + -17x = 6x 6x + 45y + -32y = 0 Combine like terms: 45y + -32y = 13y 6x + 13y = 0 Solving 6x + 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. 6x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 6x + 0 = 0 + -13y 6x = 0 + -13y Remove the zero: 6x = -13y Divide each side by '6'. x = -2.166666667y Simplifying x = -2.166666667y
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