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Simplifying 5x + 9 = -46 + -3x 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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