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Simplifying -6(x + 5) + 6(2x + 1) = 0 Reorder the terms: -6(5 + x) + 6(2x + 1) = 0 (5 * -6 + x * -6) + 6(2x + 1) = 0 (-30 + -6x) + 6(2x + 1) = 0 Reorder the terms: -30 + -6x + 6(1 + 2x) = 0 -30 + -6x + (1 * 6 + 2x * 6) = 0 -30 + -6x + (6 + 12x) = 0 Reorder the terms: -30 + 6 + -6x + 12x = 0 Combine like terms: -30 + 6 = -24 -24 + -6x + 12x = 0 Combine like terms: -6x + 12x = 6x -24 + 6x = 0 Solving -24 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 0 + 24 6x = 0 + 24 Combine like terms: 0 + 24 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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