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Simplifying -3(x + 2) = 4(v + -1) + 9 Reorder the terms: -3(2 + x) = 4(v + -1) + 9 (2 * -3 + x * -3) = 4(v + -1) + 9 (-6 + -3x) = 4(v + -1) + 9 Reorder the terms: -6 + -3x = 4(-1 + v) + 9 -6 + -3x = (-1 * 4 + v * 4) + 9 -6 + -3x = (-4 + 4v) + 9 Reorder the terms: -6 + -3x = -4 + 9 + 4v Combine like terms: -4 + 9 = 5 -6 + -3x = 5 + 4v Solving -6 + -3x = 5 + 4v Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -3x = 5 + 6 + 4v Combine like terms: -6 + 6 = 0 0 + -3x = 5 + 6 + 4v -3x = 5 + 6 + 4v Combine like terms: 5 + 6 = 11 -3x = 11 + 4v Divide each side by '-3'. x = -3.666666667 + -1.333333333v Simplifying x = -3.666666667 + -1.333333333v
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