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Simplifying 2(4x + -1) = 12x Reorder the terms: 2(-1 + 4x) = 12x (-1 * 2 + 4x * 2) = 12x (-2 + 8x) = 12x Solving -2 + 8x = 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. -2 + 8x + -12x = 12x + -12x Combine like terms: 8x + -12x = -4x -2 + -4x = 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -4x = 0 Add '2' to each side of the equation. -2 + 2 + -4x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 0 + 2 -4x = 0 + 2 Combine like terms: 0 + 2 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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