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Simplifying -8(x + -4) = 4(x + -12) Reorder the terms: -8(-4 + x) = 4(x + -12) (-4 * -8 + x * -8) = 4(x + -12) (32 + -8x) = 4(x + -12) Reorder the terms: 32 + -8x = 4(-12 + x) 32 + -8x = (-12 * 4 + x * 4) 32 + -8x = (-48 + 4x) Solving 32 + -8x = -48 + 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. 32 + -8x + -4x = -48 + 4x + -4x Combine like terms: -8x + -4x = -12x 32 + -12x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + -12x = -48 + 0 32 + -12x = -48 Add '-32' to each side of the equation. 32 + -32 + -12x = -48 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = -48 + -32 -12x = -48 + -32 Combine like terms: -48 + -32 = -80 -12x = -80 Divide each side by '-12'. x = 6.666666667 Simplifying x = 6.666666667
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