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Simplifying 4x + -1(9 + -3x) = 16 + -4(v + 7) 4x + (9 * -1 + -3x * -1) = 16 + -4(v + 7) 4x + (-9 + 3x) = 16 + -4(v + 7) Reorder the terms: -9 + 4x + 3x = 16 + -4(v + 7) Combine like terms: 4x + 3x = 7x -9 + 7x = 16 + -4(v + 7) Reorder the terms: -9 + 7x = 16 + -4(7 + v) -9 + 7x = 16 + (7 * -4 + v * -4) -9 + 7x = 16 + (-28 + -4v) Combine like terms: 16 + -28 = -12 -9 + 7x = -12 + -4v Solving -9 + 7x = -12 + -4v Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x = -12 + 9 + -4v Combine like terms: -9 + 9 = 0 0 + 7x = -12 + 9 + -4v 7x = -12 + 9 + -4v Combine like terms: -12 + 9 = -3 7x = -3 + -4v Divide each side by '7'. x = -0.4285714286 + -0.5714285714v Simplifying x = -0.4285714286 + -0.5714285714v
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