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Simplifying -6(x + 6) + 7(2x + 1) = 0 Reorder the terms: -6(6 + x) + 7(2x + 1) = 0 (6 * -6 + x * -6) + 7(2x + 1) = 0 (-36 + -6x) + 7(2x + 1) = 0 Reorder the terms: -36 + -6x + 7(1 + 2x) = 0 -36 + -6x + (1 * 7 + 2x * 7) = 0 -36 + -6x + (7 + 14x) = 0 Reorder the terms: -36 + 7 + -6x + 14x = 0 Combine like terms: -36 + 7 = -29 -29 + -6x + 14x = 0 Combine like terms: -6x + 14x = 8x -29 + 8x = 0 Solving -29 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 8x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 8x = 0 + 29 8x = 0 + 29 Combine like terms: 0 + 29 = 29 8x = 29 Divide each side by '8'. x = 3.625 Simplifying x = 3.625
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