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Simplifying -3x + 8 = 6x + -46 Reorder the terms: 8 + -3x = 6x + -46 Reorder the terms: 8 + -3x = -46 + 6x Solving 8 + -3x = -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. 8 + -3x + -6x = -46 + 6x + -6x Combine like terms: -3x + -6x = -9x 8 + -9x = -46 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -9x = -46 + 0 8 + -9x = -46 Add '-8' to each side of the equation. 8 + -8 + -9x = -46 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -46 + -8 -9x = -46 + -8 Combine like terms: -46 + -8 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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