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Simplifying 4(3x + 3p) + -7 = 22 + -5x Reorder the terms: 4(3p + 3x) + -7 = 22 + -5x (3p * 4 + 3x * 4) + -7 = 22 + -5x (12p + 12x) + -7 = 22 + -5x Reorder the terms: -7 + 12p + 12x = 22 + -5x Solving -7 + 12p + 12x = 22 + -5x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 12p + 7 + 12x = 22 + 7 + -5x Reorder the terms: -7 + 7 + 12p + 12x = 22 + 7 + -5x Combine like terms: -7 + 7 = 0 0 + 12p + 12x = 22 + 7 + -5x 12p + 12x = 22 + 7 + -5x Combine like terms: 22 + 7 = 29 12p + 12x = 29 + -5x Add '-12x' to each side of the equation. 12p + 12x + -12x = 29 + -5x + -12x Combine like terms: 12x + -12x = 0 12p + 0 = 29 + -5x + -12x 12p = 29 + -5x + -12x Combine like terms: -5x + -12x = -17x 12p = 29 + -17x Divide each side by '12'. p = 2.416666667 + -1.416666667x Simplifying p = 2.416666667 + -1.416666667x
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