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Simplifying 31 + -4x = 71 + 2x Solving 31 + -4x = 71 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 31 + -4x + -2x = 71 + 2x + -2x Combine like terms: -4x + -2x = -6x 31 + -6x = 71 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + -6x = 71 + 0 31 + -6x = 71 Add '-31' to each side of the equation. 31 + -31 + -6x = 71 + -31 Combine like terms: 31 + -31 = 0 0 + -6x = 71 + -31 -6x = 71 + -31 Combine like terms: 71 + -31 = 40 -6x = 40 Divide each side by '-6'. x = -6.666666667 Simplifying x = -6.666666667
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