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Simplifying -6(x + 6) + 6(2x + 1) = 0 Reorder the terms: -6(6 + x) + 6(2x + 1) = 0 (6 * -6 + x * -6) + 6(2x + 1) = 0 (-36 + -6x) + 6(2x + 1) = 0 Reorder the terms: -36 + -6x + 6(1 + 2x) = 0 -36 + -6x + (1 * 6 + 2x * 6) = 0 -36 + -6x + (6 + 12x) = 0 Reorder the terms: -36 + 6 + -6x + 12x = 0 Combine like terms: -36 + 6 = -30 -30 + -6x + 12x = 0 Combine like terms: -6x + 12x = 6x -30 + 6x = 0 Solving -30 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 0 + 30 6x = 0 + 30 Combine like terms: 0 + 30 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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