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Simplifying 46 + -5x = 8x + -6 Reorder the terms: 46 + -5x = -6 + 8x Solving 46 + -5x = -6 + 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 + -5x + -8x = -6 + 8x + -8x Combine like terms: -5x + -8x = -13x 46 + -13x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + -13x = -6 + 0 46 + -13x = -6 Add '-46' to each side of the equation. 46 + -46 + -13x = -6 + -46 Combine like terms: 46 + -46 = 0 0 + -13x = -6 + -46 -13x = -6 + -46 Combine like terms: -6 + -46 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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