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Simplifying 3y + -5x + 10 = 4x + 2y + 15 Reorder the terms: 10 + -5x + 3y = 4x + 2y + 15 Reorder the terms: 10 + -5x + 3y = 15 + 4x + 2y Solving 10 + -5x + 3y = 15 + 4x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + -5x + -4x + 3y = 15 + 4x + -4x + 2y Combine like terms: -5x + -4x = -9x 10 + -9x + 3y = 15 + 4x + -4x + 2y Combine like terms: 4x + -4x = 0 10 + -9x + 3y = 15 + 0 + 2y 10 + -9x + 3y = 15 + 2y Add '-10' to each side of the equation. 10 + -9x + -10 + 3y = 15 + -10 + 2y Reorder the terms: 10 + -10 + -9x + 3y = 15 + -10 + 2y Combine like terms: 10 + -10 = 0 0 + -9x + 3y = 15 + -10 + 2y -9x + 3y = 15 + -10 + 2y Combine like terms: 15 + -10 = 5 -9x + 3y = 5 + 2y Add '-3y' to each side of the equation. -9x + 3y + -3y = 5 + 2y + -3y Combine like terms: 3y + -3y = 0 -9x + 0 = 5 + 2y + -3y -9x = 5 + 2y + -3y Combine like terms: 2y + -3y = -1y -9x = 5 + -1y Divide each side by '-9'. x = -0.5555555556 + 0.1111111111y Simplifying x = -0.5555555556 + 0.1111111111y
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