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Simplifying 6(2x + -1) = 3(x + 4) Reorder the terms: 6(-1 + 2x) = 3(x + 4) (-1 * 6 + 2x * 6) = 3(x + 4) (-6 + 12x) = 3(x + 4) Reorder the terms: -6 + 12x = 3(4 + x) -6 + 12x = (4 * 3 + x * 3) -6 + 12x = (12 + 3x) Solving -6 + 12x = 12 + 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. -6 + 12x + -3x = 12 + 3x + -3x Combine like terms: 12x + -3x = 9x -6 + 9x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 9x = 12 + 0 -6 + 9x = 12 Add '6' to each side of the equation. -6 + 6 + 9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 12 + 6 9x = 12 + 6 Combine like terms: 12 + 6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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