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Simplifying 13X + -1(3X + 12) = 12X + -1(5X + -3) Reorder the terms: 13X + -1(12 + 3X) = 12X + -1(5X + -3) 13X + (12 * -1 + 3X * -1) = 12X + -1(5X + -3) 13X + (-12 + -3X) = 12X + -1(5X + -3) Reorder the terms: -12 + 13X + -3X = 12X + -1(5X + -3) Combine like terms: 13X + -3X = 10X -12 + 10X = 12X + -1(5X + -3) Reorder the terms: -12 + 10X = 12X + -1(-3 + 5X) -12 + 10X = 12X + (-3 * -1 + 5X * -1) -12 + 10X = 12X + (3 + -5X) Reorder the terms: -12 + 10X = 3 + 12X + -5X Combine like terms: 12X + -5X = 7X -12 + 10X = 3 + 7X Solving -12 + 10X = 3 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -12 + 10X + -7X = 3 + 7X + -7X Combine like terms: 10X + -7X = 3X -12 + 3X = 3 + 7X + -7X Combine like terms: 7X + -7X = 0 -12 + 3X = 3 + 0 -12 + 3X = 3 Add '12' to each side of the equation. -12 + 12 + 3X = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 3X = 3 + 12 3X = 3 + 12 Combine like terms: 3 + 12 = 15 3X = 15 Divide each side by '3'. X = 5 Simplifying X = 5
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