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Simplifying 13(x + -5) * 2 + -14 = 38 Reorder the terms: 13(-5 + x) * 2 + -14 = 38 Reorder the terms for easier multiplication: 13 * 2(-5 + x) + -14 = 38 Multiply 13 * 2 26(-5 + x) + -14 = 38 (-5 * 26 + x * 26) + -14 = 38 (-130 + 26x) + -14 = 38 Reorder the terms: -130 + -14 + 26x = 38 Combine like terms: -130 + -14 = -144 -144 + 26x = 38 Solving -144 + 26x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 144 + 26x = 38 + 144 Combine like terms: -144 + 144 = 0 0 + 26x = 38 + 144 26x = 38 + 144 Combine like terms: 38 + 144 = 182 26x = 182 Divide each side by '26'. x = 7 Simplifying x = 7
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