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Simplifying -2(3x + 1) = 8 + -4x Reorder the terms: -2(1 + 3x) = 8 + -4x (1 * -2 + 3x * -2) = 8 + -4x (-2 + -6x) = 8 + -4x Solving -2 + -6x = 8 + -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. -2 + -6x + 4x = 8 + -4x + 4x Combine like terms: -6x + 4x = -2x -2 + -2x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -2x = 8 + 0 -2 + -2x = 8 Add '2' to each side of the equation. -2 + 2 + -2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 8 + 2 -2x = 8 + 2 Combine like terms: 8 + 2 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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