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Simplifying (47x + 56y) + -1(4x + -23y) = 0 Remove parenthesis around (47x + 56y) 47x + 56y + -1(4x + -23y) = 0 47x + 56y + (4x * -1 + -23y * -1) = 0 47x + 56y + (-4x + 23y) = 0 Reorder the terms: 47x + -4x + 56y + 23y = 0 Combine like terms: 47x + -4x = 43x 43x + 56y + 23y = 0 Combine like terms: 56y + 23y = 79y 43x + 79y = 0 Solving 43x + 79y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-79y' to each side of the equation. 43x + 79y + -79y = 0 + -79y Combine like terms: 79y + -79y = 0 43x + 0 = 0 + -79y 43x = 0 + -79y Remove the zero: 43x = -79y Divide each side by '43'. x = -1.837209302y Simplifying x = -1.837209302y
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