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Simplifying -2(x + 2) = -8x + -46 Reorder the terms: -2(2 + x) = -8x + -46 (2 * -2 + x * -2) = -8x + -46 (-4 + -2x) = -8x + -46 Reorder the terms: -4 + -2x = -46 + -8x Solving -4 + -2x = -46 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4 + -2x + 8x = -46 + -8x + 8x Combine like terms: -2x + 8x = 6x -4 + 6x = -46 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 6x = -46 + 0 -4 + 6x = -46 Add '4' to each side of the equation. -4 + 4 + 6x = -46 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = -46 + 4 6x = -46 + 4 Combine like terms: -46 + 4 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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