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Simplifying (x + 6) + (x + 9) + (x + 3) = (x + 4) + 2(x + 1) Reorder the terms: (6 + x) + (x + 9) + (x + 3) = (x + 4) + 2(x + 1) Remove parenthesis around (6 + x) 6 + x + (x + 9) + (x + 3) = (x + 4) + 2(x + 1) Reorder the terms: 6 + x + (9 + x) + (x + 3) = (x + 4) + 2(x + 1) Remove parenthesis around (9 + x) 6 + x + 9 + x + (x + 3) = (x + 4) + 2(x + 1) Reorder the terms: 6 + x + 9 + x + (3 + x) = (x + 4) + 2(x + 1) Remove parenthesis around (3 + x) 6 + x + 9 + x + 3 + x = (x + 4) + 2(x + 1) Reorder the terms: 6 + 9 + 3 + x + x + x = (x + 4) + 2(x + 1) Combine like terms: 6 + 9 = 15 15 + 3 + x + x + x = (x + 4) + 2(x + 1) Combine like terms: 15 + 3 = 18 18 + x + x + x = (x + 4) + 2(x + 1) Combine like terms: x + x = 2x 18 + 2x + x = (x + 4) + 2(x + 1) Combine like terms: 2x + x = 3x 18 + 3x = (x + 4) + 2(x + 1) Reorder the terms: 18 + 3x = (4 + x) + 2(x + 1) Remove parenthesis around (4 + x) 18 + 3x = 4 + x + 2(x + 1) Reorder the terms: 18 + 3x = 4 + x + 2(1 + x) 18 + 3x = 4 + x + (1 * 2 + x * 2) 18 + 3x = 4 + x + (2 + 2x) Reorder the terms: 18 + 3x = 4 + 2 + x + 2x Combine like terms: 4 + 2 = 6 18 + 3x = 6 + x + 2x Combine like terms: x + 2x = 3x 18 + 3x = 6 + 3x Add '-3x' to each side of the equation. 18 + 3x + -3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 0 = 6 + 3x + -3x 18 = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 18 = 6 + 0 18 = 6 Solving 18 = 6 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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