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Simplifying -5x + -46 = -9x + -6 Reorder the terms: -46 + -5x = -9x + -6 Reorder the terms: -46 + -5x = -6 + -9x Solving -46 + -5x = -6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -46 + -5x + 9x = -6 + -9x + 9x Combine like terms: -5x + 9x = 4x -46 + 4x = -6 + -9x + 9x Combine like terms: -9x + 9x = 0 -46 + 4x = -6 + 0 -46 + 4x = -6 Add '46' to each side of the equation. -46 + 46 + 4x = -6 + 46 Combine like terms: -46 + 46 = 0 0 + 4x = -6 + 46 4x = -6 + 46 Combine like terms: -6 + 46 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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