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Simplifying 8(x + -6) = -4(x + 6) + -12 Reorder the terms: 8(-6 + x) = -4(x + 6) + -12 (-6 * 8 + x * 8) = -4(x + 6) + -12 (-48 + 8x) = -4(x + 6) + -12 Reorder the terms: -48 + 8x = -4(6 + x) + -12 -48 + 8x = (6 * -4 + x * -4) + -12 -48 + 8x = (-24 + -4x) + -12 Reorder the terms: -48 + 8x = -24 + -12 + -4x Combine like terms: -24 + -12 = -36 -48 + 8x = -36 + -4x Solving -48 + 8x = -36 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -48 + 8x + 4x = -36 + -4x + 4x Combine like terms: 8x + 4x = 12x -48 + 12x = -36 + -4x + 4x Combine like terms: -4x + 4x = 0 -48 + 12x = -36 + 0 -48 + 12x = -36 Add '48' to each side of the equation. -48 + 48 + 12x = -36 + 48 Combine like terms: -48 + 48 = 0 0 + 12x = -36 + 48 12x = -36 + 48 Combine like terms: -36 + 48 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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