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Simplifying 2(3p + -1x) + -1(-4p + x) = 0 (3p * 2 + -1x * 2) + -1(-4p + x) = 0 (6p + -2x) + -1(-4p + x) = 0 6p + -2x + (-4p * -1 + x * -1) = 0 6p + -2x + (4p + -1x) = 0 Reorder the terms: 6p + 4p + -2x + -1x = 0 Combine like terms: 6p + 4p = 10p 10p + -2x + -1x = 0 Combine like terms: -2x + -1x = -3x 10p + -3x = 0 Solving 10p + -3x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3x' to each side of the equation. 10p + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 10p + 0 = 0 + 3x 10p = 0 + 3x Remove the zero: 10p = 3x Divide each side by '10'. p = 0.3x Simplifying p = 0.3x
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