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Simplifying -2(x + 4) = -4x + 6 Reorder the terms: -2(4 + x) = -4x + 6 (4 * -2 + x * -2) = -4x + 6 (-8 + -2x) = -4x + 6 Reorder the terms: -8 + -2x = 6 + -4x Solving -8 + -2x = 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. -8 + -2x + 4x = 6 + -4x + 4x Combine like terms: -2x + 4x = 2x -8 + 2x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 2x = 6 + 0 -8 + 2x = 6 Add '8' to each side of the equation. -8 + 8 + 2x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 6 + 8 2x = 6 + 8 Combine like terms: 6 + 8 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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