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Simplifying (X + 6) + (x + 3) + (x + 9) = (2x + 4) + (2x + 1) Reorder the terms: (6 + X) + (x + 3) + (x + 9) = (2x + 4) + (2x + 1) Remove parenthesis around (6 + X) 6 + X + (x + 3) + (x + 9) = (2x + 4) + (2x + 1) Reorder the terms: 6 + X + (3 + x) + (x + 9) = (2x + 4) + (2x + 1) Remove parenthesis around (3 + x) 6 + X + 3 + x + (x + 9) = (2x + 4) + (2x + 1) Reorder the terms: 6 + X + 3 + x + (9 + x) = (2x + 4) + (2x + 1) Remove parenthesis around (9 + x) 6 + X + 3 + x + 9 + x = (2x + 4) + (2x + 1) Reorder the terms: 6 + 3 + 9 + X + x + x = (2x + 4) + (2x + 1) Combine like terms: 6 + 3 = 9 9 + 9 + X + x + x = (2x + 4) + (2x + 1) Combine like terms: 9 + 9 = 18 18 + X + x + x = (2x + 4) + (2x + 1) Combine like terms: x + x = 2x 18 + X + 2x = (2x + 4) + (2x + 1) Reorder the terms: 18 + X + 2x = (4 + 2x) + (2x + 1) Remove parenthesis around (4 + 2x) 18 + X + 2x = 4 + 2x + (2x + 1) Reorder the terms: 18 + X + 2x = 4 + 2x + (1 + 2x) Remove parenthesis around (1 + 2x) 18 + X + 2x = 4 + 2x + 1 + 2x Reorder the terms: 18 + X + 2x = 4 + 1 + 2x + 2x Combine like terms: 4 + 1 = 5 18 + X + 2x = 5 + 2x + 2x Combine like terms: 2x + 2x = 4x 18 + X + 2x = 5 + 4x Solving 18 + X + 2x = 5 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + X + -18 + 2x = 5 + -18 + 4x Reorder the terms: 18 + -18 + X + 2x = 5 + -18 + 4x Combine like terms: 18 + -18 = 0 0 + X + 2x = 5 + -18 + 4x X + 2x = 5 + -18 + 4x Combine like terms: 5 + -18 = -13 X + 2x = -13 + 4x Add '-2x' to each side of the equation. X + 2x + -2x = -13 + 4x + -2x Combine like terms: 2x + -2x = 0 X + 0 = -13 + 4x + -2x X = -13 + 4x + -2x Combine like terms: 4x + -2x = 2x X = -13 + 2x Simplifying X = -13 + 2x
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