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Simplifying 7(x + -5) = -4x + -46 Reorder the terms: 7(-5 + x) = -4x + -46 (-5 * 7 + x * 7) = -4x + -46 (-35 + 7x) = -4x + -46 Reorder the terms: -35 + 7x = -46 + -4x Solving -35 + 7x = -46 + -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. -35 + 7x + 4x = -46 + -4x + 4x Combine like terms: 7x + 4x = 11x -35 + 11x = -46 + -4x + 4x Combine like terms: -4x + 4x = 0 -35 + 11x = -46 + 0 -35 + 11x = -46 Add '35' to each side of the equation. -35 + 35 + 11x = -46 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = -46 + 35 11x = -46 + 35 Combine like terms: -46 + 35 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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