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Simplifying 6x + 3y = 5x + -13 + 2y Reorder the terms: 6x + 3y = -13 + 5x + 2y Solving 6x + 3y = -13 + 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. 6x + -5x + 3y = -13 + 5x + -5x + 2y Combine like terms: 6x + -5x = 1x 1x + 3y = -13 + 5x + -5x + 2y Combine like terms: 5x + -5x = 0 1x + 3y = -13 + 0 + 2y 1x + 3y = -13 + 2y Add '-3y' to each side of the equation. 1x + 3y + -3y = -13 + 2y + -3y Combine like terms: 3y + -3y = 0 1x + 0 = -13 + 2y + -3y 1x = -13 + 2y + -3y Combine like terms: 2y + -3y = -1y 1x = -13 + -1y Divide each side by '1'. x = -13 + -1y Simplifying x = -13 + -1y
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