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Simplifying 13X + 2 + -1(X + -3) = X + -5 + -3(X + 12) + 4X Reorder the terms: 13X + 2 + -1(-3 + X) = X + -5 + -3(X + 12) + 4X 13X + 2 + (-3 * -1 + X * -1) = X + -5 + -3(X + 12) + 4X 13X + 2 + (3 + -1X) = X + -5 + -3(X + 12) + 4X Reorder the terms: 2 + 3 + 13X + -1X = X + -5 + -3(X + 12) + 4X Combine like terms: 2 + 3 = 5 5 + 13X + -1X = X + -5 + -3(X + 12) + 4X Combine like terms: 13X + -1X = 12X 5 + 12X = X + -5 + -3(X + 12) + 4X Reorder the terms: 5 + 12X = X + -5 + -3(12 + X) + 4X 5 + 12X = X + -5 + (12 * -3 + X * -3) + 4X 5 + 12X = X + -5 + (-36 + -3X) + 4X Reorder the terms: 5 + 12X = -5 + -36 + X + -3X + 4X Combine like terms: -5 + -36 = -41 5 + 12X = -41 + X + -3X + 4X Combine like terms: X + -3X = -2X 5 + 12X = -41 + -2X + 4X Combine like terms: -2X + 4X = 2X 5 + 12X = -41 + 2X Solving 5 + 12X = -41 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 5 + 12X + -2X = -41 + 2X + -2X Combine like terms: 12X + -2X = 10X 5 + 10X = -41 + 2X + -2X Combine like terms: 2X + -2X = 0 5 + 10X = -41 + 0 5 + 10X = -41 Add '-5' to each side of the equation. 5 + -5 + 10X = -41 + -5 Combine like terms: 5 + -5 = 0 0 + 10X = -41 + -5 10X = -41 + -5 Combine like terms: -41 + -5 = -46 10X = -46 Divide each side by '10'. X = -4.6 Simplifying X = -4.6
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