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Simplifying 13(x + -5) + 4(5) = 38 Reorder the terms: 13(-5 + x) + 4(5) = 38 (-5 * 13 + x * 13) + 4(5) = 38 (-65 + 13x) + 4(5) = 38 Multiply 4 * 5 -65 + 13x + 20 = 38 Reorder the terms: -65 + 20 + 13x = 38 Combine like terms: -65 + 20 = -45 -45 + 13x = 38 Solving -45 + 13x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 13x = 38 + 45 Combine like terms: -45 + 45 = 0 0 + 13x = 38 + 45 13x = 38 + 45 Combine like terms: 38 + 45 = 83 13x = 83 Divide each side by '13'. x = 6.384615385 Simplifying x = 6.384615385
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