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Simplifying 2(3x + -1) + -4 = 4x + 12 Reorder the terms: 2(-1 + 3x) + -4 = 4x + 12 (-1 * 2 + 3x * 2) + -4 = 4x + 12 (-2 + 6x) + -4 = 4x + 12 Reorder the terms: -2 + -4 + 6x = 4x + 12 Combine like terms: -2 + -4 = -6 -6 + 6x = 4x + 12 Reorder the terms: -6 + 6x = 12 + 4x Solving -6 + 6x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x -6 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 2x = 12 + 0 -6 + 2x = 12 Add '6' to each side of the equation. -6 + 6 + 2x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 12 + 6 2x = 12 + 6 Combine like terms: 12 + 6 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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