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Simplifying (Xp + x) + (2p + 1) = 3p + 7 Remove parenthesis around (pX + x) pX + x + (2p + 1) = 3p + 7 Reorder the terms: pX + x + (1 + 2p) = 3p + 7 Remove parenthesis around (1 + 2p) pX + x + 1 + 2p = 3p + 7 Reorder the terms: 1 + 2p + pX + x = 3p + 7 Reorder the terms: 1 + 2p + pX + x = 7 + 3p Solving 1 + 2p + pX + x = 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 + pX + -3p + x = 7 + 3p + -3p Reorder the terms: 1 + 2p + -3p + pX + x = 7 + 3p + -3p Combine like terms: 2p + -3p = -1p 1 + -1p + pX + x = 7 + 3p + -3p Combine like terms: 3p + -3p = 0 1 + -1p + pX + x = 7 + 0 1 + -1p + pX + x = 7 Add '-1' to each side of the equation. 1 + -1p + pX + -1 + x = 7 + -1 Reorder the terms: 1 + -1 + -1p + pX + x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -1p + pX + x = 7 + -1 -1p + pX + x = 7 + -1 Combine like terms: 7 + -1 = 6 -1p + pX + x = 6 Add '-1x' to each side of the equation. -1p + pX + x + -1x = 6 + -1x Combine like terms: x + -1x = 0 -1p + pX + 0 = 6 + -1x -1p + pX = 6 + -1x Reorder the terms: -6 + -1p + pX + x = 6 + -1x + -6 + x Reorder the terms: -6 + -1p + pX + x = 6 + -6 + -1x + x Combine like terms: 6 + -6 = 0 -6 + -1p + pX + x = 0 + -1x + x -6 + -1p + pX + x = -1x + x Combine like terms: -1x + x = 0 -6 + -1p + pX + x = 0 The solution to this equation could not be determined.
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