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Simplifying (x + 6) + (x + 9) + (x + 3) = (x + 4) + (x + 1) Reorder the terms: (6 + x) + (x + 9) + (x + 3) = (x + 4) + (x + 1) Remove parenthesis around (6 + x) 6 + x + (x + 9) + (x + 3) = (x + 4) + (x + 1) Reorder the terms: 6 + x + (9 + x) + (x + 3) = (x + 4) + (x + 1) Remove parenthesis around (9 + x) 6 + x + 9 + x + (x + 3) = (x + 4) + (x + 1) Reorder the terms: 6 + x + 9 + x + (3 + x) = (x + 4) + (x + 1) Remove parenthesis around (3 + x) 6 + x + 9 + x + 3 + x = (x + 4) + (x + 1) Reorder the terms: 6 + 9 + 3 + x + x + x = (x + 4) + (x + 1) Combine like terms: 6 + 9 = 15 15 + 3 + x + x + x = (x + 4) + (x + 1) Combine like terms: 15 + 3 = 18 18 + x + x + x = (x + 4) + (x + 1) Combine like terms: x + x = 2x 18 + 2x + x = (x + 4) + (x + 1) Combine like terms: 2x + x = 3x 18 + 3x = (x + 4) + (x + 1) Reorder the terms: 18 + 3x = (4 + x) + (x + 1) Remove parenthesis around (4 + x) 18 + 3x = 4 + x + (x + 1) Reorder the terms: 18 + 3x = 4 + x + (1 + x) Remove parenthesis around (1 + x) 18 + 3x = 4 + x + 1 + x Reorder the terms: 18 + 3x = 4 + 1 + x + x Combine like terms: 4 + 1 = 5 18 + 3x = 5 + x + x Combine like terms: x + x = 2x 18 + 3x = 5 + 2x Solving 18 + 3x = 5 + 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. 18 + 3x + -2x = 5 + 2x + -2x Combine like terms: 3x + -2x = 1x 18 + 1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 1x = 5 + 0 18 + 1x = 5 Add '-18' to each side of the equation. 18 + -18 + 1x = 5 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 5 + -18 1x = 5 + -18 Combine like terms: 5 + -18 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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