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