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Simplifying 5(x + y) + 3(y + 1) = 0 (x * 5 + y * 5) + 3(y + 1) = 0 (5x + 5y) + 3(y + 1) = 0 Reorder the terms: 5x + 5y + 3(1 + y) = 0 5x + 5y + (1 * 3 + y * 3) = 0 5x + 5y + (3 + 3y) = 0 Reorder the terms: 3 + 5x + 5y + 3y = 0 Combine like terms: 5y + 3y = 8y 3 + 5x + 8y = 0 Solving 3 + 5x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5x + -3 + 8y = 0 + -3 Reorder the terms: 3 + -3 + 5x + 8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x + 8y = 0 + -3 5x + 8y = 0 + -3 Combine like terms: 0 + -3 = -3 5x + 8y = -3 Add '-8y' to each side of the equation. 5x + 8y + -8y = -3 + -8y Combine like terms: 8y + -8y = 0 5x + 0 = -3 + -8y 5x = -3 + -8y Divide each side by '5'. x = -0.6 + -1.6y Simplifying x = -0.6 + -1.6y
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