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Simplifying -1(4x + 2) = 6 + -3x Reorder the terms: -1(2 + 4x) = 6 + -3x (2 * -1 + 4x * -1) = 6 + -3x (-2 + -4x) = 6 + -3x Solving -2 + -4x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + -4x + 3x = 6 + -3x + 3x Combine like terms: -4x + 3x = -1x -2 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + -1x = 6 + 0 -2 + -1x = 6 Add '2' to each side of the equation. -2 + 2 + -1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 6 + 2 -1x = 6 + 2 Combine like terms: 6 + 2 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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