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Simplifying -17x + -6(5 + -4x) = 4(p + -5) + -19 -17x + (5 * -6 + -4x * -6) = 4(p + -5) + -19 -17x + (-30 + 24x) = 4(p + -5) + -19 Reorder the terms: -30 + -17x + 24x = 4(p + -5) + -19 Combine like terms: -17x + 24x = 7x -30 + 7x = 4(p + -5) + -19 Reorder the terms: -30 + 7x = 4(-5 + p) + -19 -30 + 7x = (-5 * 4 + p * 4) + -19 -30 + 7x = (-20 + 4p) + -19 Reorder the terms: -30 + 7x = -20 + -19 + 4p Combine like terms: -20 + -19 = -39 -30 + 7x = -39 + 4p Solving -30 + 7x = -39 + 4p Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 7x = -39 + 30 + 4p Combine like terms: -30 + 30 = 0 0 + 7x = -39 + 30 + 4p 7x = -39 + 30 + 4p Combine like terms: -39 + 30 = -9 7x = -9 + 4p Divide each side by '7'. x = -1.285714286 + 0.5714285714p Simplifying x = -1.285714286 + 0.5714285714p
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