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Simplifying 31 = 6x + -5(x + -4) Reorder the terms: 31 = 6x + -5(-4 + x) 31 = 6x + (-4 * -5 + x * -5) 31 = 6x + (20 + -5x) Reorder the terms: 31 = 20 + 6x + -5x Combine like terms: 6x + -5x = 1x 31 = 20 + 1x Solving 31 = 20 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 31 + -1x = 20 + 1x + -1x Combine like terms: 1x + -1x = 0 31 + -1x = 20 + 0 31 + -1x = 20 Add '-31' to each side of the equation. 31 + -31 + -1x = 20 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = 20 + -31 -1x = 20 + -31 Combine like terms: 20 + -31 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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