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