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Simplifying -9(x + 4) = -4x + -46 Reorder the terms: -9(4 + x) = -4x + -46 (4 * -9 + x * -9) = -4x + -46 (-36 + -9x) = -4x + -46 Reorder the terms: -36 + -9x = -46 + -4x Solving -36 + -9x = -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. -36 + -9x + 4x = -46 + -4x + 4x Combine like terms: -9x + 4x = -5x -36 + -5x = -46 + -4x + 4x Combine like terms: -4x + 4x = 0 -36 + -5x = -46 + 0 -36 + -5x = -46 Add '36' to each side of the equation. -36 + 36 + -5x = -46 + 36 Combine like terms: -36 + 36 = 0 0 + -5x = -46 + 36 -5x = -46 + 36 Combine like terms: -46 + 36 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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