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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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