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Simplifying 3x + 31 = 13x + -49 Reorder the terms: 31 + 3x = 13x + -49 Reorder the terms: 31 + 3x = -49 + 13x Solving 31 + 3x = -49 + 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 + 3x + -13x = -49 + 13x + -13x Combine like terms: 3x + -13x = -10x 31 + -10x = -49 + 13x + -13x Combine like terms: 13x + -13x = 0 31 + -10x = -49 + 0 31 + -10x = -49 Add '-31' to each side of the equation. 31 + -31 + -10x = -49 + -31 Combine like terms: 31 + -31 = 0 0 + -10x = -49 + -31 -10x = -49 + -31 Combine like terms: -49 + -31 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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