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Simplifying -4(x + 9) = -6x + -46 Reorder the terms: -4(9 + x) = -6x + -46 (9 * -4 + x * -4) = -6x + -46 (-36 + -4x) = -6x + -46 Reorder the terms: -36 + -4x = -46 + -6x Solving -36 + -4x = -46 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -36 + -4x + 6x = -46 + -6x + 6x Combine like terms: -4x + 6x = 2x -36 + 2x = -46 + -6x + 6x Combine like terms: -6x + 6x = 0 -36 + 2x = -46 + 0 -36 + 2x = -46 Add '36' to each side of the equation. -36 + 36 + 2x = -46 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = -46 + 36 2x = -46 + 36 Combine like terms: -46 + 36 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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