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Simplifying 5(x + -5) + -8 = -6(-2v + 7) + -1x Reorder the terms: 5(-5 + x) + -8 = -6(-2v + 7) + -1x (-5 * 5 + x * 5) + -8 = -6(-2v + 7) + -1x (-25 + 5x) + -8 = -6(-2v + 7) + -1x Reorder the terms: -25 + -8 + 5x = -6(-2v + 7) + -1x Combine like terms: -25 + -8 = -33 -33 + 5x = -6(-2v + 7) + -1x Reorder the terms: -33 + 5x = -6(7 + -2v) + -1x -33 + 5x = (7 * -6 + -2v * -6) + -1x -33 + 5x = (-42 + 12v) + -1x Solving -33 + 5x = -42 + 12v + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -33 + 5x + x = -42 + 12v + -1x + x Combine like terms: 5x + x = 6x -33 + 6x = -42 + 12v + -1x + x Combine like terms: -1x + x = 0 -33 + 6x = -42 + 12v + 0 -33 + 6x = -42 + 12v Add '33' to each side of the equation. -33 + 33 + 6x = -42 + 33 + 12v Combine like terms: -33 + 33 = 0 0 + 6x = -42 + 33 + 12v 6x = -42 + 33 + 12v Combine like terms: -42 + 33 = -9 6x = -9 + 12v Divide each side by '6'. x = -1.5 + 2v Simplifying x = -1.5 + 2v
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