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Simplifying -2(7x + 1) = 14 + -6x Reorder the terms: -2(1 + 7x) = 14 + -6x (1 * -2 + 7x * -2) = 14 + -6x (-2 + -14x) = 14 + -6x Solving -2 + -14x = 14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + -14x + 6x = 14 + -6x + 6x Combine like terms: -14x + 6x = -8x -2 + -8x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + -8x = 14 + 0 -2 + -8x = 14 Add '2' to each side of the equation. -2 + 2 + -8x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 14 + 2 -8x = 14 + 2 Combine like terms: 14 + 2 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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