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Simplifying 2x + -3y + 9 = 3x + 5y + -25 Reorder the terms: 9 + 2x + -3y = 3x + 5y + -25 Reorder the terms: 9 + 2x + -3y = -25 + 3x + 5y Solving 9 + 2x + -3y = -25 + 3x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 2x + -3x + -3y = -25 + 3x + -3x + 5y Combine like terms: 2x + -3x = -1x 9 + -1x + -3y = -25 + 3x + -3x + 5y Combine like terms: 3x + -3x = 0 9 + -1x + -3y = -25 + 0 + 5y 9 + -1x + -3y = -25 + 5y Add '-9' to each side of the equation. 9 + -1x + -9 + -3y = -25 + -9 + 5y Reorder the terms: 9 + -9 + -1x + -3y = -25 + -9 + 5y Combine like terms: 9 + -9 = 0 0 + -1x + -3y = -25 + -9 + 5y -1x + -3y = -25 + -9 + 5y Combine like terms: -25 + -9 = -34 -1x + -3y = -34 + 5y Add '3y' to each side of the equation. -1x + -3y + 3y = -34 + 5y + 3y Combine like terms: -3y + 3y = 0 -1x + 0 = -34 + 5y + 3y -1x = -34 + 5y + 3y Combine like terms: 5y + 3y = 8y -1x = -34 + 8y Divide each side by '-1'. x = 34 + -8y Simplifying x = 34 + -8y
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