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Simplifying 2x + 3y = 7x + -2x + 8 Reorder the terms: 2x + 3y = 8 + 7x + -2x Combine like terms: 7x + -2x = 5x 2x + 3y = 8 + 5x Solving 2x + 3y = 8 + 5x 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. 2x + -5x + 3y = 8 + 5x + -5x Combine like terms: 2x + -5x = -3x -3x + 3y = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -3x + 3y = 8 + 0 -3x + 3y = 8 Add '-3y' to each side of the equation. -3x + 3y + -3y = 8 + -3y Combine like terms: 3y + -3y = 0 -3x + 0 = 8 + -3y -3x = 8 + -3y Divide each side by '-3'. x = -2.666666667 + y Simplifying x = -2.666666667 + y
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