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Simplifying -6x + 35 = -9x + -46 Reorder the terms: 35 + -6x = -9x + -46 Reorder the terms: 35 + -6x = -46 + -9x Solving 35 + -6x = -46 + -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. 35 + -6x + 9x = -46 + -9x + 9x Combine like terms: -6x + 9x = 3x 35 + 3x = -46 + -9x + 9x Combine like terms: -9x + 9x = 0 35 + 3x = -46 + 0 35 + 3x = -46 Add '-35' to each side of the equation. 35 + -35 + 3x = -46 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = -46 + -35 3x = -46 + -35 Combine like terms: -46 + -35 = -81 3x = -81 Divide each side by '3'. x = -27 Simplifying x = -27
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