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Simplifying -2(2x + 7) = -6 + 4x Reorder the terms: -2(7 + 2x) = -6 + 4x (7 * -2 + 2x * -2) = -6 + 4x (-14 + -4x) = -6 + 4x Solving -14 + -4x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + -4x + -4x = -6 + 4x + -4x Combine like terms: -4x + -4x = -8x -14 + -8x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -8x = -6 + 0 -14 + -8x = -6 Add '14' to each side of the equation. -14 + 14 + -8x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = -6 + 14 -8x = -6 + 14 Combine like terms: -6 + 14 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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