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Simplifying 2(px + -1) = 99 + -7(3 + -4x) Reorder the terms: 2(-1 + px) = 99 + -7(3 + -4x) (-1 * 2 + px * 2) = 99 + -7(3 + -4x) (-2 + 2px) = 99 + -7(3 + -4x) -2 + 2px = 99 + (3 * -7 + -4x * -7) -2 + 2px = 99 + (-21 + 28x) Combine like terms: 99 + -21 = 78 -2 + 2px = 78 + 28x Solving -2 + 2px = 78 + 28x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2px = 78 + 2 + 28x Combine like terms: -2 + 2 = 0 0 + 2px = 78 + 2 + 28x 2px = 78 + 2 + 28x Combine like terms: 78 + 2 = 80 2px = 80 + 28x Divide each side by '2x'. p = 40x-1 + 14 Simplifying p = 40x-1 + 14 Reorder the terms: p = 14 + 40x-1
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