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Simplifying -4(x + 6) = 8 + -46 Reorder the terms: -4(6 + x) = 8 + -46 (6 * -4 + x * -4) = 8 + -46 (-24 + -4x) = 8 + -46 Combine like terms: 8 + -46 = -38 -24 + -4x = -38 Solving -24 + -4x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -4x = -38 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = -38 + 24 -4x = -38 + 24 Combine like terms: -38 + 24 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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