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Simplifying 4x + 5y + -1(2x + -3y + 5) = 0 Reorder the terms: 4x + 5y + -1(5 + 2x + -3y) = 0 4x + 5y + (5 * -1 + 2x * -1 + -3y * -1) = 0 4x + 5y + (-5 + -2x + 3y) = 0 Reorder the terms: -5 + 4x + -2x + 5y + 3y = 0 Combine like terms: 4x + -2x = 2x -5 + 2x + 5y + 3y = 0 Combine like terms: 5y + 3y = 8y -5 + 2x + 8y = 0 Solving -5 + 2x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2x + 5 + 8y = 0 + 5 Reorder the terms: -5 + 5 + 2x + 8y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x + 8y = 0 + 5 2x + 8y = 0 + 5 Combine like terms: 0 + 5 = 5 2x + 8y = 5 Add '-8y' to each side of the equation. 2x + 8y + -8y = 5 + -8y Combine like terms: 8y + -8y = 0 2x + 0 = 5 + -8y 2x = 5 + -8y Divide each side by '2'. x = 2.5 + -4y Simplifying x = 2.5 + -4y
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