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Simplifying -2(6x + 8) = -4(x + 12) Reorder the terms: -2(8 + 6x) = -4(x + 12) (8 * -2 + 6x * -2) = -4(x + 12) (-16 + -12x) = -4(x + 12) Reorder the terms: -16 + -12x = -4(12 + x) -16 + -12x = (12 * -4 + x * -4) -16 + -12x = (-48 + -4x) Solving -16 + -12x = -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. -16 + -12x + 4x = -48 + -4x + 4x Combine like terms: -12x + 4x = -8x -16 + -8x = -48 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + -8x = -48 + 0 -16 + -8x = -48 Add '16' to each side of the equation. -16 + 16 + -8x = -48 + 16 Combine like terms: -16 + 16 = 0 0 + -8x = -48 + 16 -8x = -48 + 16 Combine like terms: -48 + 16 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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