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Simplifying 2x + -1(3y + 5) = 2y + 16 Reorder the terms: 2x + -1(5 + 3y) = 2y + 16 2x + (5 * -1 + 3y * -1) = 2y + 16 2x + (-5 + -3y) = 2y + 16 Reorder the terms: -5 + 2x + -3y = 2y + 16 Reorder the terms: -5 + 2x + -3y = 16 + 2y Solving -5 + 2x + -3y = 16 + 2y 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 + -3y = 16 + 5 + 2y Reorder the terms: -5 + 5 + 2x + -3y = 16 + 5 + 2y Combine like terms: -5 + 5 = 0 0 + 2x + -3y = 16 + 5 + 2y 2x + -3y = 16 + 5 + 2y Combine like terms: 16 + 5 = 21 2x + -3y = 21 + 2y Add '3y' to each side of the equation. 2x + -3y + 3y = 21 + 2y + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 21 + 2y + 3y 2x = 21 + 2y + 3y Combine like terms: 2y + 3y = 5y 2x = 21 + 5y Divide each side by '2'. x = 10.5 + 2.5y Simplifying x = 10.5 + 2.5y
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