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Simplifying 2x + 7(3x + -13) = 47 Reorder the terms: 2x + 7(-13 + 3x) = 47 2x + (-13 * 7 + 3x * 7) = 47 2x + (-91 + 21x) = 47 Reorder the terms: -91 + 2x + 21x = 47 Combine like terms: 2x + 21x = 23x -91 + 23x = 47 Solving -91 + 23x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '91' to each side of the equation. -91 + 91 + 23x = 47 + 91 Combine like terms: -91 + 91 = 0 0 + 23x = 47 + 91 23x = 47 + 91 Combine like terms: 47 + 91 = 138 23x = 138 Divide each side by '23'. x = 6 Simplifying x = 6
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