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Simplifying 2x + 3y = 7 + -5x + 3y Add '-3y' to each side of the equation. 2x + 3y + -3y = 7 + -5x + 3y + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 7 + -5x + 3y + -3y 2x = 7 + -5x + 3y + -3y Combine like terms: 3y + -3y = 0 2x = 7 + -5x + 0 2x = 7 + -5x Solving 2x = 7 + -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 = 7 + -5x + 5x Combine like terms: 2x + 5x = 7x 7x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 7x = 7 + 0 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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