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Simplifying 11(x + 3) + -2v = 3(v + 1) + -5 Reorder the terms: 11(3 + x) + -2v = 3(v + 1) + -5 (3 * 11 + x * 11) + -2v = 3(v + 1) + -5 (33 + 11x) + -2v = 3(v + 1) + -5 Reorder the terms: 33 + -2v + 11x = 3(v + 1) + -5 Reorder the terms: 33 + -2v + 11x = 3(1 + v) + -5 33 + -2v + 11x = (1 * 3 + v * 3) + -5 33 + -2v + 11x = (3 + 3v) + -5 Reorder the terms: 33 + -2v + 11x = 3 + -5 + 3v Combine like terms: 3 + -5 = -2 33 + -2v + 11x = -2 + 3v Solving 33 + -2v + 11x = -2 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 33 + -2v + -3v + 11x = -2 + 3v + -3v Combine like terms: -2v + -3v = -5v 33 + -5v + 11x = -2 + 3v + -3v Combine like terms: 3v + -3v = 0 33 + -5v + 11x = -2 + 0 33 + -5v + 11x = -2 Add '-33' to each side of the equation. 33 + -5v + -33 + 11x = -2 + -33 Reorder the terms: 33 + -33 + -5v + 11x = -2 + -33 Combine like terms: 33 + -33 = 0 0 + -5v + 11x = -2 + -33 -5v + 11x = -2 + -33 Combine like terms: -2 + -33 = -35 -5v + 11x = -35 Add '-11x' to each side of the equation. -5v + 11x + -11x = -35 + -11x Combine like terms: 11x + -11x = 0 -5v + 0 = -35 + -11x -5v = -35 + -11x Divide each side by '-5'. v = 7 + 2.2x Simplifying v = 7 + 2.2x
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