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