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Simplifying 9x + 3y + -5 = 6x + -9y + 10 Reorder the terms: -5 + 9x + 3y = 6x + -9y + 10 Reorder the terms: -5 + 9x + 3y = 10 + 6x + -9y Solving -5 + 9x + 3y = 10 + 6x + -9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 9x + -6x + 3y = 10 + 6x + -6x + -9y Combine like terms: 9x + -6x = 3x -5 + 3x + 3y = 10 + 6x + -6x + -9y Combine like terms: 6x + -6x = 0 -5 + 3x + 3y = 10 + 0 + -9y -5 + 3x + 3y = 10 + -9y Add '5' to each side of the equation. -5 + 3x + 5 + 3y = 10 + 5 + -9y Reorder the terms: -5 + 5 + 3x + 3y = 10 + 5 + -9y Combine like terms: -5 + 5 = 0 0 + 3x + 3y = 10 + 5 + -9y 3x + 3y = 10 + 5 + -9y Combine like terms: 10 + 5 = 15 3x + 3y = 15 + -9y Add '-3y' to each side of the equation. 3x + 3y + -3y = 15 + -9y + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 15 + -9y + -3y 3x = 15 + -9y + -3y Combine like terms: -9y + -3y = -12y 3x = 15 + -12y Divide each side by '3'. x = 5 + -4y Simplifying x = 5 + -4y
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