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Simplifying 2p + 4p + -7x + 3 = 4p + 5 + -3x Reorder the terms: 3 + 2p + 4p + -7x = 4p + 5 + -3x Combine like terms: 2p + 4p = 6p 3 + 6p + -7x = 4p + 5 + -3x Reorder the terms: 3 + 6p + -7x = 5 + 4p + -3x Solving 3 + 6p + -7x = 5 + 4p + -3x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 3 + 6p + -4p + -7x = 5 + 4p + -4p + -3x Combine like terms: 6p + -4p = 2p 3 + 2p + -7x = 5 + 4p + -4p + -3x Combine like terms: 4p + -4p = 0 3 + 2p + -7x = 5 + 0 + -3x 3 + 2p + -7x = 5 + -3x Add '-3' to each side of the equation. 3 + 2p + -3 + -7x = 5 + -3 + -3x Reorder the terms: 3 + -3 + 2p + -7x = 5 + -3 + -3x Combine like terms: 3 + -3 = 0 0 + 2p + -7x = 5 + -3 + -3x 2p + -7x = 5 + -3 + -3x Combine like terms: 5 + -3 = 2 2p + -7x = 2 + -3x Add '7x' to each side of the equation. 2p + -7x + 7x = 2 + -3x + 7x Combine like terms: -7x + 7x = 0 2p + 0 = 2 + -3x + 7x 2p = 2 + -3x + 7x Combine like terms: -3x + 7x = 4x 2p = 2 + 4x Divide each side by '2'. p = 1 + 2x Simplifying p = 1 + 2x
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