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Simplifying 4x + -2(3 + -2x) = -46 4x + (3 * -2 + -2x * -2) = -46 4x + (-6 + 4x) = -46 Reorder the terms: -6 + 4x + 4x = -46 Combine like terms: 4x + 4x = 8x -6 + 8x = -46 Solving -6 + 8x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8x = -46 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -46 + 6 8x = -46 + 6 Combine like terms: -46 + 6 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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