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Simplifying -32x + -6(5 + -6x) = 2(p + -5) + -4 -32x + (5 * -6 + -6x * -6) = 2(p + -5) + -4 -32x + (-30 + 36x) = 2(p + -5) + -4 Reorder the terms: -30 + -32x + 36x = 2(p + -5) + -4 Combine like terms: -32x + 36x = 4x -30 + 4x = 2(p + -5) + -4 Reorder the terms: -30 + 4x = 2(-5 + p) + -4 -30 + 4x = (-5 * 2 + p * 2) + -4 -30 + 4x = (-10 + 2p) + -4 Reorder the terms: -30 + 4x = -10 + -4 + 2p Combine like terms: -10 + -4 = -14 -30 + 4x = -14 + 2p Solving -30 + 4x = -14 + 2p 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 + 4x = -14 + 30 + 2p Combine like terms: -30 + 30 = 0 0 + 4x = -14 + 30 + 2p 4x = -14 + 30 + 2p Combine like terms: -14 + 30 = 16 4x = 16 + 2p Divide each side by '4'. x = 4 + 0.5p Simplifying x = 4 + 0.5p
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