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Simplifying -8(x + 6) = 4(x + -4) Reorder the terms: -8(6 + x) = 4(x + -4) (6 * -8 + x * -8) = 4(x + -4) (-48 + -8x) = 4(x + -4) Reorder the terms: -48 + -8x = 4(-4 + x) -48 + -8x = (-4 * 4 + x * 4) -48 + -8x = (-16 + 4x) Solving -48 + -8x = -16 + 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 = -16 + 4x + -4x Combine like terms: -8x + -4x = -12x -48 + -12x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -48 + -12x = -16 + 0 -48 + -12x = -16 Add '48' to each side of the equation. -48 + 48 + -12x = -16 + 48 Combine like terms: -48 + 48 = 0 0 + -12x = -16 + 48 -12x = -16 + 48 Combine like terms: -16 + 48 = 32 -12x = 32 Divide each side by '-12'. x = -2.666666667 Simplifying x = -2.666666667
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