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Simplifying -4x + 7(x + 2) = 31 Reorder the terms: -4x + 7(2 + x) = 31 -4x + (2 * 7 + x * 7) = 31 -4x + (14 + 7x) = 31 Reorder the terms: 14 + -4x + 7x = 31 Combine like terms: -4x + 7x = 3x 14 + 3x = 31 Solving 14 + 3x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 31 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 31 + -14 3x = 31 + -14 Combine like terms: 31 + -14 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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