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Simplifying 2(x + p) = 3(6p + -1x) Reorder the terms: 2(p + x) = 3(6p + -1x) (p * 2 + x * 2) = 3(6p + -1x) (2p + 2x) = 3(6p + -1x) 2p + 2x = (6p * 3 + -1x * 3) 2p + 2x = (18p + -3x) Solving 2p + 2x = 18p + -3x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. 2p + -18p + 2x = 18p + -18p + -3x Combine like terms: 2p + -18p = -16p -16p + 2x = 18p + -18p + -3x Combine like terms: 18p + -18p = 0 -16p + 2x = 0 + -3x -16p + 2x = -3x Add '-2x' to each side of the equation. -16p + 2x + -2x = -3x + -2x Combine like terms: 2x + -2x = 0 -16p + 0 = -3x + -2x -16p = -3x + -2x Combine like terms: -3x + -2x = -5x -16p = -5x Divide each side by '-16'. p = 0.3125x Simplifying p = 0.3125x
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