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Simplifying -14 + 3(5p + 5) = 7(2x + 4) + x Reorder the terms: -14 + 3(5 + 5p) = 7(2x + 4) + x -14 + (5 * 3 + 5p * 3) = 7(2x + 4) + x -14 + (15 + 15p) = 7(2x + 4) + x Combine like terms: -14 + 15 = 1 1 + 15p = 7(2x + 4) + x Reorder the terms: 1 + 15p = 7(4 + 2x) + x 1 + 15p = (4 * 7 + 2x * 7) + x 1 + 15p = (28 + 14x) + x Combine like terms: 14x + x = 15x 1 + 15p = 28 + 15x Solving 1 + 15p = 28 + 15x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 15p = 28 + -1 + 15x Combine like terms: 1 + -1 = 0 0 + 15p = 28 + -1 + 15x 15p = 28 + -1 + 15x Combine like terms: 28 + -1 = 27 15p = 27 + 15x Divide each side by '15'. p = 1.8 + x Simplifying p = 1.8 + x
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