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