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Simplifying (21x + -5y) + -1(15y + 4x) = 0 Remove parenthesis around (21x + -5y) 21x + -5y + -1(15y + 4x) = 0 Reorder the terms: 21x + -5y + -1(4x + 15y) = 0 21x + -5y + (4x * -1 + 15y * -1) = 0 21x + -5y + (-4x + -15y) = 0 Reorder the terms: 21x + -4x + -5y + -15y = 0 Combine like terms: 21x + -4x = 17x 17x + -5y + -15y = 0 Combine like terms: -5y + -15y = -20y 17x + -20y = 0 Solving 17x + -20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20y' to each side of the equation. 17x + -20y + 20y = 0 + 20y Combine like terms: -20y + 20y = 0 17x + 0 = 0 + 20y 17x = 0 + 20y Remove the zero: 17x = 20y Divide each side by '17'. x = 1.176470588y Simplifying x = 1.176470588y
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