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Simplifying -4(x + 4y) + 5(3x + y) = 0 (x * -4 + 4y * -4) + 5(3x + y) = 0 (-4x + -16y) + 5(3x + y) = 0 -4x + -16y + (3x * 5 + y * 5) = 0 -4x + -16y + (15x + 5y) = 0 Reorder the terms: -4x + 15x + -16y + 5y = 0 Combine like terms: -4x + 15x = 11x 11x + -16y + 5y = 0 Combine like terms: -16y + 5y = -11y 11x + -11y = 0 Solving 11x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 11x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 11x + 0 = 0 + 11y 11x = 0 + 11y Remove the zero: 11x = 11y Divide each side by '11'. x = y Simplifying x = y
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