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Simplifying -2(3x + 12) = 2x + 16 Reorder the terms: -2(12 + 3x) = 2x + 16 (12 * -2 + 3x * -2) = 2x + 16 (-24 + -6x) = 2x + 16 Reorder the terms: -24 + -6x = 16 + 2x Solving -24 + -6x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + -6x + -2x = 16 + 2x + -2x Combine like terms: -6x + -2x = -8x -24 + -8x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + -8x = 16 + 0 -24 + -8x = 16 Add '24' to each side of the equation. -24 + 24 + -8x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 16 + 24 -8x = 16 + 24 Combine like terms: 16 + 24 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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