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Simplifying 6x + 31 = 13x + -46 Reorder the terms: 31 + 6x = 13x + -46 Reorder the terms: 31 + 6x = -46 + 13x Solving 31 + 6x = -46 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 31 + 6x + -13x = -46 + 13x + -13x Combine like terms: 6x + -13x = -7x 31 + -7x = -46 + 13x + -13x Combine like terms: 13x + -13x = 0 31 + -7x = -46 + 0 31 + -7x = -46 Add '-31' to each side of the equation. 31 + -31 + -7x = -46 + -31 Combine like terms: 31 + -31 = 0 0 + -7x = -46 + -31 -7x = -46 + -31 Combine like terms: -46 + -31 = -77 -7x = -77 Divide each side by '-7'. x = 11 Simplifying x = 11
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