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