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Simplifying 3(X + -2) + 13 = 2(X + 5) Reorder the terms: 3(-2 + X) + 13 = 2(X + 5) (-2 * 3 + X * 3) + 13 = 2(X + 5) (-6 + 3X) + 13 = 2(X + 5) Reorder the terms: -6 + 13 + 3X = 2(X + 5) Combine like terms: -6 + 13 = 7 7 + 3X = 2(X + 5) Reorder the terms: 7 + 3X = 2(5 + X) 7 + 3X = (5 * 2 + X * 2) 7 + 3X = (10 + 2X) Solving 7 + 3X = 10 + 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. 7 + 3X + -2X = 10 + 2X + -2X Combine like terms: 3X + -2X = 1X 7 + 1X = 10 + 2X + -2X Combine like terms: 2X + -2X = 0 7 + 1X = 10 + 0 7 + 1X = 10 Add '-7' to each side of the equation. 7 + -7 + 1X = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1X = 10 + -7 1X = 10 + -7 Combine like terms: 10 + -7 = 3 1X = 3 Divide each side by '1'. X = 3 Simplifying X = 3
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