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Simplifying -6(x + 7) + 7(2x + 1) = 0 Reorder the terms: -6(7 + x) + 7(2x + 1) = 0 (7 * -6 + x * -6) + 7(2x + 1) = 0 (-42 + -6x) + 7(2x + 1) = 0 Reorder the terms: -42 + -6x + 7(1 + 2x) = 0 -42 + -6x + (1 * 7 + 2x * 7) = 0 -42 + -6x + (7 + 14x) = 0 Reorder the terms: -42 + 7 + -6x + 14x = 0 Combine like terms: -42 + 7 = -35 -35 + -6x + 14x = 0 Combine like terms: -6x + 14x = 8x -35 + 8x = 0 Solving -35 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 8x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 8x = 0 + 35 8x = 0 + 35 Combine like terms: 0 + 35 = 35 8x = 35 Divide each side by '8'. x = 4.375 Simplifying x = 4.375
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