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Simplifying 2(3x + -1) = 12x + 4 Reorder the terms: 2(-1 + 3x) = 12x + 4 (-1 * 2 + 3x * 2) = 12x + 4 (-2 + 6x) = 12x + 4 Reorder the terms: -2 + 6x = 4 + 12x Solving -2 + 6x = 4 + 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 + 6x + -12x = 4 + 12x + -12x Combine like terms: 6x + -12x = -6x -2 + -6x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -6x = 4 + 0 -2 + -6x = 4 Add '2' to each side of the equation. -2 + 2 + -6x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 4 + 2 -6x = 4 + 2 Combine like terms: 4 + 2 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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