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Simplifying 13X + 13[4 + -10(-3X + -6)] = 10(13X + -5) Reorder the terms: 13X + 13[4 + -10(-6 + -3X)] = 10(13X + -5) 13X + 13[4 + (-6 * -10 + -3X * -10)] = 10(13X + -5) 13X + 13[4 + (60 + 30X)] = 10(13X + -5) Combine like terms: 4 + 60 = 64 13X + 13[64 + 30X] = 10(13X + -5) 13X + [64 * 13 + 30X * 13] = 10(13X + -5) 13X + [832 + 390X] = 10(13X + -5) Reorder the terms: 832 + 13X + 390X = 10(13X + -5) Combine like terms: 13X + 390X = 403X 832 + 403X = 10(13X + -5) Reorder the terms: 832 + 403X = 10(-5 + 13X) 832 + 403X = (-5 * 10 + 13X * 10) 832 + 403X = (-50 + 130X) Solving 832 + 403X = -50 + 130X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-130X' to each side of the equation. 832 + 403X + -130X = -50 + 130X + -130X Combine like terms: 403X + -130X = 273X 832 + 273X = -50 + 130X + -130X Combine like terms: 130X + -130X = 0 832 + 273X = -50 + 0 832 + 273X = -50 Add '-832' to each side of the equation. 832 + -832 + 273X = -50 + -832 Combine like terms: 832 + -832 = 0 0 + 273X = -50 + -832 273X = -50 + -832 Combine like terms: -50 + -832 = -882 273X = -882 Divide each side by '273'. X = -3.230769231 Simplifying X = -3.230769231
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