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Simplifying (3x + -5) + -1(5x + 3) = v Reorder the terms: (-5 + 3x) + -1(5x + 3) = v Remove parenthesis around (-5 + 3x) -5 + 3x + -1(5x + 3) = v Reorder the terms: -5 + 3x + -1(3 + 5x) = v -5 + 3x + (3 * -1 + 5x * -1) = v -5 + 3x + (-3 + -5x) = v Reorder the terms: -5 + -3 + 3x + -5x = v Combine like terms: -5 + -3 = -8 -8 + 3x + -5x = v Combine like terms: 3x + -5x = -2x -8 + -2x = v Solving -8 + -2x = v Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2x = 8 + v Combine like terms: -8 + 8 = 0 0 + -2x = 8 + v -2x = 8 + v Divide each side by '-2'. x = -4 + -0.5v Simplifying x = -4 + -0.5v
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