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Simplifying -6(x + -9) = -8x + -46 Reorder the terms: -6(-9 + x) = -8x + -46 (-9 * -6 + x * -6) = -8x + -46 (54 + -6x) = -8x + -46 Reorder the terms: 54 + -6x = -46 + -8x Solving 54 + -6x = -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. 54 + -6x + 8x = -46 + -8x + 8x Combine like terms: -6x + 8x = 2x 54 + 2x = -46 + -8x + 8x Combine like terms: -8x + 8x = 0 54 + 2x = -46 + 0 54 + 2x = -46 Add '-54' to each side of the equation. 54 + -54 + 2x = -46 + -54 Combine like terms: 54 + -54 = 0 0 + 2x = -46 + -54 2x = -46 + -54 Combine like terms: -46 + -54 = -100 2x = -100 Divide each side by '2'. x = -50 Simplifying x = -50
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