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Simplifying -54 + 8 = 17 + -6x + -33 Combine like terms: -54 + 8 = -46 -46 = 17 + -6x + -33 Reorder the terms: -46 = 17 + -33 + -6x Combine like terms: 17 + -33 = -16 -46 = -16 + -6x Solving -46 = -16 + -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. -46 + 6x = -16 + -6x + 6x Combine like terms: -6x + 6x = 0 -46 + 6x = -16 + 0 -46 + 6x = -16 Add '46' to each side of the equation. -46 + 46 + 6x = -16 + 46 Combine like terms: -46 + 46 = 0 0 + 6x = -16 + 46 6x = -16 + 46 Combine like terms: -16 + 46 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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