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Simplifying 13x + -1(8x + -2) = 47 Reorder the terms: 13x + -1(-2 + 8x) = 47 13x + (-2 * -1 + 8x * -1) = 47 13x + (2 + -8x) = 47 Reorder the terms: 2 + 13x + -8x = 47 Combine like terms: 13x + -8x = 5x 2 + 5x = 47 Solving 2 + 5x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 47 + -2 5x = 47 + -2 Combine like terms: 47 + -2 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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