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Simplifying -9y + 16x + 24y + 11y + z = 5(5x + -3y) Reorder the terms: 16x + -9y + 24y + 11y + z = 5(5x + -3y) Combine like terms: -9y + 24y = 15y 16x + 15y + 11y + z = 5(5x + -3y) Combine like terms: 15y + 11y = 26y 16x + 26y + z = 5(5x + -3y) 16x + 26y + z = (5x * 5 + -3y * 5) 16x + 26y + z = (25x + -15y) Solving 16x + 26y + z = 25x + -15y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 16x + 26y + -25x + z = 25x + -25x + -15y Reorder the terms: 16x + -25x + 26y + z = 25x + -25x + -15y Combine like terms: 16x + -25x = -9x -9x + 26y + z = 25x + -25x + -15y Combine like terms: 25x + -25x = 0 -9x + 26y + z = 0 + -15y -9x + 26y + z = -15y Add '-26y' to each side of the equation. -9x + 26y + -26y + z = -15y + -26y Combine like terms: 26y + -26y = 0 -9x + 0 + z = -15y + -26y -9x + z = -15y + -26y Combine like terms: -15y + -26y = -41y -9x + z = -41y Add '-1z' to each side of the equation. -9x + z + -1z = -41y + -1z Combine like terms: z + -1z = 0 -9x + 0 = -41y + -1z -9x = -41y + -1z Divide each side by '-9'. x = 4.555555556y + 0.1111111111z Simplifying x = 4.555555556y + 0.1111111111z
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