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Simplifying -2(4x + 12) = 2 + 3(6 + -1x) Reorder the terms: -2(12 + 4x) = 2 + 3(6 + -1x) (12 * -2 + 4x * -2) = 2 + 3(6 + -1x) (-24 + -8x) = 2 + 3(6 + -1x) -24 + -8x = 2 + (6 * 3 + -1x * 3) -24 + -8x = 2 + (18 + -3x) Combine like terms: 2 + 18 = 20 -24 + -8x = 20 + -3x Solving -24 + -8x = 20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + -8x + 3x = 20 + -3x + 3x Combine like terms: -8x + 3x = -5x -24 + -5x = 20 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + -5x = 20 + 0 -24 + -5x = 20 Add '24' to each side of the equation. -24 + 24 + -5x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 20 + 24 -5x = 20 + 24 Combine like terms: 20 + 24 = 44 -5x = 44 Divide each side by '-5'. x = -8.8 Simplifying x = -8.8
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