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Simplifying 5x + 3y = 6 + 2x Solving 5x + 3y = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5x + -2x + 3y = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x 3x + 3y = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 3x + 3y = 6 + 0 3x + 3y = 6 Add '-3y' to each side of the equation. 3x + 3y + -3y = 6 + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 6 + -3y 3x = 6 + -3y Divide each side by '3'. x = 2 + -1y Simplifying x = 2 + -1y
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