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Simplifying -5(3x + -1) = 2(x + -42) * 13 Reorder the terms: -5(-1 + 3x) = 2(x + -42) * 13 (-1 * -5 + 3x * -5) = 2(x + -42) * 13 (5 + -15x) = 2(x + -42) * 13 Reorder the terms: 5 + -15x = 2(-42 + x) * 13 Reorder the terms for easier multiplication: 5 + -15x = 2 * 13(-42 + x) Multiply 2 * 13 5 + -15x = 26(-42 + x) 5 + -15x = (-42 * 26 + x * 26) 5 + -15x = (-1092 + 26x) Solving 5 + -15x = -1092 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 5 + -15x + -26x = -1092 + 26x + -26x Combine like terms: -15x + -26x = -41x 5 + -41x = -1092 + 26x + -26x Combine like terms: 26x + -26x = 0 5 + -41x = -1092 + 0 5 + -41x = -1092 Add '-5' to each side of the equation. 5 + -5 + -41x = -1092 + -5 Combine like terms: 5 + -5 = 0 0 + -41x = -1092 + -5 -41x = -1092 + -5 Combine like terms: -1092 + -5 = -1097 -41x = -1097 Divide each side by '-41'. x = 26.75609756 Simplifying x = 26.75609756
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