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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 = -36 -48 + 8x = -36 + -4p Solving -48 + 8x = -36 + -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 = -36 + 48 + -4p Combine like terms: -48 + 48 = 0 0 + 8x = -36 + 48 + -4p 8x = -36 + 48 + -4p Combine like terms: -36 + 48 = 12 8x = 12 + -4p Divide each side by '8'. x = 1.5 + -0.5p Simplifying x = 1.5 + -0.5p
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