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Simplifying 13(x + -5) + 4(x + -5) = 38 Reorder the terms: 13(-5 + x) + 4(x + -5) = 38 (-5 * 13 + x * 13) + 4(x + -5) = 38 (-65 + 13x) + 4(x + -5) = 38 Reorder the terms: -65 + 13x + 4(-5 + x) = 38 -65 + 13x + (-5 * 4 + x * 4) = 38 -65 + 13x + (-20 + 4x) = 38 Reorder the terms: -65 + -20 + 13x + 4x = 38 Combine like terms: -65 + -20 = -85 -85 + 13x + 4x = 38 Combine like terms: 13x + 4x = 17x -85 + 17x = 38 Solving -85 + 17x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 17x = 38 + 85 Combine like terms: -85 + 85 = 0 0 + 17x = 38 + 85 17x = 38 + 85 Combine like terms: 38 + 85 = 123 17x = 123 Divide each side by '17'. x = 7.235294118 Simplifying x = 7.235294118
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