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Simplifying 3x + -10 = -46 + -5x Reorder the terms: -10 + 3x = -46 + -5x Solving -10 + 3x = -46 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -10 + 3x + 5x = -46 + -5x + 5x Combine like terms: 3x + 5x = 8x -10 + 8x = -46 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 8x = -46 + 0 -10 + 8x = -46 Add '10' to each side of the equation. -10 + 10 + 8x = -46 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = -46 + 10 8x = -46 + 10 Combine like terms: -46 + 10 = -36 8x = -36 Divide each side by '8'. x = -4.5 Simplifying x = -4.5
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