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Simplifying 8(X + -6) = 4(P + 6) + -12 Reorder the terms: 8(-6 + X) = 4(P + 6) + -12 (-6 * 8 + X * 8) = 4(P + 6) + -12 (-48 + 8X) = 4(P + 6) + -12 Reorder the terms: -48 + 8X = 4(6 + P) + -12 -48 + 8X = (6 * 4 + P * 4) + -12 -48 + 8X = (24 + 4P) + -12 Reorder the terms: -48 + 8X = 24 + -12 + 4P Combine like terms: 24 + -12 = 12 -48 + 8X = 12 + 4P Solving -48 + 8X = 12 + 4P Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 8X = 12 + 48 + 4P Combine like terms: -48 + 48 = 0 0 + 8X = 12 + 48 + 4P 8X = 12 + 48 + 4P Combine like terms: 12 + 48 = 60 8X = 60 + 4P Divide each side by '8'. X = 7.5 + 0.5P Simplifying X = 7.5 + 0.5P
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