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Simplifying 9 + -5x = 3x + -46 Reorder the terms: 9 + -5x = -46 + 3x Solving 9 + -5x = -46 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + -5x + -3x = -46 + 3x + -3x Combine like terms: -5x + -3x = -8x 9 + -8x = -46 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -8x = -46 + 0 9 + -8x = -46 Add '-9' to each side of the equation. 9 + -9 + -8x = -46 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = -46 + -9 -8x = -46 + -9 Combine like terms: -46 + -9 = -55 -8x = -55 Divide each side by '-8'. x = 6.875 Simplifying x = 6.875
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