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Simplifying -2(x + p) = -1(6 + -5x) + 2x Reorder the terms: -2(p + x) = -1(6 + -5x) + 2x (p * -2 + x * -2) = -1(6 + -5x) + 2x (-2p + -2x) = -1(6 + -5x) + 2x -2p + -2x = (6 * -1 + -5x * -1) + 2x -2p + -2x = (-6 + 5x) + 2x Combine like terms: 5x + 2x = 7x -2p + -2x = -6 + 7x Solving -2p + -2x = -6 + 7x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2x' to each side of the equation. -2p + -2x + 2x = -6 + 7x + 2x Combine like terms: -2x + 2x = 0 -2p + 0 = -6 + 7x + 2x -2p = -6 + 7x + 2x Combine like terms: 7x + 2x = 9x -2p = -6 + 9x Divide each side by '-2'. p = 3 + -4.5x Simplifying p = 3 + -4.5x
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