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Simplifying vx + -4x + -10 = 9 + 2x + -7 Reorder the terms: -10 + vx + -4x = 9 + 2x + -7 Reorder the terms: -10 + vx + -4x = 9 + -7 + 2x Combine like terms: 9 + -7 = 2 -10 + vx + -4x = 2 + 2x Solving -10 + vx + -4x = 2 + 2x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + vx + 10 + -4x = 2 + 10 + 2x Reorder the terms: -10 + 10 + vx + -4x = 2 + 10 + 2x Combine like terms: -10 + 10 = 0 0 + vx + -4x = 2 + 10 + 2x vx + -4x = 2 + 10 + 2x Combine like terms: 2 + 10 = 12 vx + -4x = 12 + 2x Add '4x' to each side of the equation. vx + -4x + 4x = 12 + 2x + 4x Combine like terms: -4x + 4x = 0 vx + 0 = 12 + 2x + 4x vx = 12 + 2x + 4x Combine like terms: 2x + 4x = 6x vx = 12 + 6x Divide each side by 'x'. v = 12x-1 + 6 Simplifying v = 12x-1 + 6 Reorder the terms: v = 6 + 12x-1
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