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Simplifying 4x + 3y = 2y + -5x + 12 Reorder the terms: 4x + 3y = 12 + -5x + 2y Solving 4x + 3y = 12 + -5x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4x + 5x + 3y = 12 + -5x + 5x + 2y Combine like terms: 4x + 5x = 9x 9x + 3y = 12 + -5x + 5x + 2y Combine like terms: -5x + 5x = 0 9x + 3y = 12 + 0 + 2y 9x + 3y = 12 + 2y Add '-3y' to each side of the equation. 9x + 3y + -3y = 12 + 2y + -3y Combine like terms: 3y + -3y = 0 9x + 0 = 12 + 2y + -3y 9x = 12 + 2y + -3y Combine like terms: 2y + -3y = -1y 9x = 12 + -1y Divide each side by '9'. x = 1.333333333 + -0.1111111111y Simplifying x = 1.333333333 + -0.1111111111y
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