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