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Simplifying -8(x + 6) = 4(x + 6) Reorder the terms: -8(6 + x) = 4(x + 6) (6 * -8 + x * -8) = 4(x + 6) (-48 + -8x) = 4(x + 6) Reorder the terms: -48 + -8x = 4(6 + x) -48 + -8x = (6 * 4 + x * 4) -48 + -8x = (24 + 4x) Solving -48 + -8x = 24 + 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 = 24 + 4x + -4x Combine like terms: -8x + -4x = -12x -48 + -12x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -48 + -12x = 24 + 0 -48 + -12x = 24 Add '48' to each side of the equation. -48 + 48 + -12x = 24 + 48 Combine like terms: -48 + 48 = 0 0 + -12x = 24 + 48 -12x = 24 + 48 Combine like terms: 24 + 48 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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