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Simplifying -13x + -46 = x + 4 + -9x Reorder the terms: -46 + -13x = x + 4 + -9x Reorder the terms: -46 + -13x = 4 + x + -9x Combine like terms: x + -9x = -8x -46 + -13x = 4 + -8x Solving -46 + -13x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -46 + -13x + 8x = 4 + -8x + 8x Combine like terms: -13x + 8x = -5x -46 + -5x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -46 + -5x = 4 + 0 -46 + -5x = 4 Add '46' to each side of the equation. -46 + 46 + -5x = 4 + 46 Combine like terms: -46 + 46 = 0 0 + -5x = 4 + 46 -5x = 4 + 46 Combine like terms: 4 + 46 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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