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Simplifying 3(X + 2) + 7 = 2(X + 3) + 6 Reorder the terms: 3(2 + X) + 7 = 2(X + 3) + 6 (2 * 3 + X * 3) + 7 = 2(X + 3) + 6 (6 + 3X) + 7 = 2(X + 3) + 6 Reorder the terms: 6 + 7 + 3X = 2(X + 3) + 6 Combine like terms: 6 + 7 = 13 13 + 3X = 2(X + 3) + 6 Reorder the terms: 13 + 3X = 2(3 + X) + 6 13 + 3X = (3 * 2 + X * 2) + 6 13 + 3X = (6 + 2X) + 6 Reorder the terms: 13 + 3X = 6 + 6 + 2X Combine like terms: 6 + 6 = 12 13 + 3X = 12 + 2X Solving 13 + 3X = 12 + 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. 13 + 3X + -2X = 12 + 2X + -2X Combine like terms: 3X + -2X = 1X 13 + 1X = 12 + 2X + -2X Combine like terms: 2X + -2X = 0 13 + 1X = 12 + 0 13 + 1X = 12 Add '-13' to each side of the equation. 13 + -13 + 1X = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 1X = 12 + -13 1X = 12 + -13 Combine like terms: 12 + -13 = -1 1X = -1 Divide each side by '1'. X = -1 Simplifying X = -1
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