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Simplifying -3x + 31 = -6x + -47 Reorder the terms: 31 + -3x = -6x + -47 Reorder the terms: 31 + -3x = -47 + -6x Solving 31 + -3x = -47 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 31 + -3x + 6x = -47 + -6x + 6x Combine like terms: -3x + 6x = 3x 31 + 3x = -47 + -6x + 6x Combine like terms: -6x + 6x = 0 31 + 3x = -47 + 0 31 + 3x = -47 Add '-31' to each side of the equation. 31 + -31 + 3x = -47 + -31 Combine like terms: 31 + -31 = 0 0 + 3x = -47 + -31 3x = -47 + -31 Combine like terms: -47 + -31 = -78 3x = -78 Divide each side by '3'. x = -26 Simplifying x = -26
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