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Simplifying 5x + 3y + -3x + 2y + 7 = 0 Reorder the terms: 7 + 5x + -3x + 3y + 2y = 0 Combine like terms: 5x + -3x = 2x 7 + 2x + 3y + 2y = 0 Combine like terms: 3y + 2y = 5y 7 + 2x + 5y = 0 Solving 7 + 2x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2x + -7 + 5y = 0 + -7 Reorder the terms: 7 + -7 + 2x + 5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x + 5y = 0 + -7 2x + 5y = 0 + -7 Combine like terms: 0 + -7 = -7 2x + 5y = -7 Add '-5y' to each side of the equation. 2x + 5y + -5y = -7 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = -7 + -5y 2x = -7 + -5y Divide each side by '2'. x = -3.5 + -2.5y Simplifying x = -3.5 + -2.5y
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