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Simplifying 2(x + 7) + 3X = 6(X + 1) Reorder the terms: 2(7 + x) + 3X = 6(X + 1) (7 * 2 + x * 2) + 3X = 6(X + 1) (14 + 2x) + 3X = 6(X + 1) Reorder the terms: 14 + 3X + 2x = 6(X + 1) Reorder the terms: 14 + 3X + 2x = 6(1 + X) 14 + 3X + 2x = (1 * 6 + X * 6) 14 + 3X + 2x = (6 + 6X) Solving 14 + 3X + 2x = 6 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 14 + 3X + -6X + 2x = 6 + 6X + -6X Combine like terms: 3X + -6X = -3X 14 + -3X + 2x = 6 + 6X + -6X Combine like terms: 6X + -6X = 0 14 + -3X + 2x = 6 + 0 14 + -3X + 2x = 6 Add '-14' to each side of the equation. 14 + -3X + -14 + 2x = 6 + -14 Reorder the terms: 14 + -14 + -3X + 2x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -3X + 2x = 6 + -14 -3X + 2x = 6 + -14 Combine like terms: 6 + -14 = -8 -3X + 2x = -8 Add '-2x' to each side of the equation. -3X + 2x + -2x = -8 + -2x Combine like terms: 2x + -2x = 0 -3X + 0 = -8 + -2x -3X = -8 + -2x Divide each side by '-3'. X = 2.666666667 + 0.6666666667x Simplifying X = 2.666666667 + 0.6666666667x
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