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Simplifying 5y + -3x + 5 = 2x + -5 Reorder the terms: 5 + -3x + 5y = 2x + -5 Reorder the terms: 5 + -3x + 5y = -5 + 2x Solving 5 + -3x + 5y = -5 + 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. 5 + -3x + -2x + 5y = -5 + 2x + -2x Combine like terms: -3x + -2x = -5x 5 + -5x + 5y = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -5x + 5y = -5 + 0 5 + -5x + 5y = -5 Add '-5' to each side of the equation. 5 + -5x + -5 + 5y = -5 + -5 Reorder the terms: 5 + -5 + -5x + 5y = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -5x + 5y = -5 + -5 -5x + 5y = -5 + -5 Combine like terms: -5 + -5 = -10 -5x + 5y = -10 Add '-5y' to each side of the equation. -5x + 5y + -5y = -10 + -5y Combine like terms: 5y + -5y = 0 -5x + 0 = -10 + -5y -5x = -10 + -5y Divide each side by '-5'. x = 2 + y Simplifying x = 2 + y
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