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Simplifying 3(X + -3) + 13 = 2(X + 5) Reorder the terms: 3(-3 + X) + 13 = 2(X + 5) (-3 * 3 + X * 3) + 13 = 2(X + 5) (-9 + 3X) + 13 = 2(X + 5) Reorder the terms: -9 + 13 + 3X = 2(X + 5) Combine like terms: -9 + 13 = 4 4 + 3X = 2(X + 5) Reorder the terms: 4 + 3X = 2(5 + X) 4 + 3X = (5 * 2 + X * 2) 4 + 3X = (10 + 2X) Solving 4 + 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. 4 + 3X + -2X = 10 + 2X + -2X Combine like terms: 3X + -2X = 1X 4 + 1X = 10 + 2X + -2X Combine like terms: 2X + -2X = 0 4 + 1X = 10 + 0 4 + 1X = 10 Add '-4' to each side of the equation. 4 + -4 + 1X = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1X = 10 + -4 1X = 10 + -4 Combine like terms: 10 + -4 = 6 1X = 6 Divide each side by '1'. X = 6 Simplifying X = 6
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