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Simplifying 2(8x + -2) = 12x + -24 Reorder the terms: 2(-2 + 8x) = 12x + -24 (-2 * 2 + 8x * 2) = 12x + -24 (-4 + 16x) = 12x + -24 Reorder the terms: -4 + 16x = -24 + 12x Solving -4 + 16x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + 16x + -12x = -24 + 12x + -12x Combine like terms: 16x + -12x = 4x -4 + 4x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + 4x = -24 + 0 -4 + 4x = -24 Add '4' to each side of the equation. -4 + 4 + 4x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -24 + 4 4x = -24 + 4 Combine like terms: -24 + 4 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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