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Simplifying 4x + 5(y + 8) = 0 Reorder the terms: 4x + 5(8 + y) = 0 4x + (8 * 5 + y * 5) = 0 4x + (40 + 5y) = 0 Reorder the terms: 40 + 4x + 5y = 0 Solving 40 + 4x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 4x + -40 + 5y = 0 + -40 Reorder the terms: 40 + -40 + 4x + 5y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 4x + 5y = 0 + -40 4x + 5y = 0 + -40 Combine like terms: 0 + -40 = -40 4x + 5y = -40 Add '-5y' to each side of the equation. 4x + 5y + -5y = -40 + -5y Combine like terms: 5y + -5y = 0 4x + 0 = -40 + -5y 4x = -40 + -5y Divide each side by '4'. x = -10 + -1.25y Simplifying x = -10 + -1.25y
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