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Simplifying -6(x + 7) + 6(2x + 1) = 0 Reorder the terms: -6(7 + x) + 6(2x + 1) = 0 (7 * -6 + x * -6) + 6(2x + 1) = 0 (-42 + -6x) + 6(2x + 1) = 0 Reorder the terms: -42 + -6x + 6(1 + 2x) = 0 -42 + -6x + (1 * 6 + 2x * 6) = 0 -42 + -6x + (6 + 12x) = 0 Reorder the terms: -42 + 6 + -6x + 12x = 0 Combine like terms: -42 + 6 = -36 -36 + -6x + 12x = 0 Combine like terms: -6x + 12x = 6x -36 + 6x = 0 Solving -36 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 6x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 0 + 36 6x = 0 + 36 Combine like terms: 0 + 36 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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