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Simplifying (1x + 6) + (1x + 9) + (1x + 3) = 2(1x + 4) + 2(1x + 1) Reorder the terms: (6 + 1x) + (1x + 9) + (1x + 3) = 2(1x + 4) + 2(1x + 1) Remove parenthesis around (6 + 1x) 6 + 1x + (1x + 9) + (1x + 3) = 2(1x + 4) + 2(1x + 1) Reorder the terms: 6 + 1x + (9 + 1x) + (1x + 3) = 2(1x + 4) + 2(1x + 1) Remove parenthesis around (9 + 1x) 6 + 1x + 9 + 1x + (1x + 3) = 2(1x + 4) + 2(1x + 1) Reorder the terms: 6 + 1x + 9 + 1x + (3 + 1x) = 2(1x + 4) + 2(1x + 1) Remove parenthesis around (3 + 1x) 6 + 1x + 9 + 1x + 3 + 1x = 2(1x + 4) + 2(1x + 1) Reorder the terms: 6 + 9 + 3 + 1x + 1x + 1x = 2(1x + 4) + 2(1x + 1) Combine like terms: 6 + 9 = 15 15 + 3 + 1x + 1x + 1x = 2(1x + 4) + 2(1x + 1) Combine like terms: 15 + 3 = 18 18 + 1x + 1x + 1x = 2(1x + 4) + 2(1x + 1) Combine like terms: 1x + 1x = 2x 18 + 2x + 1x = 2(1x + 4) + 2(1x + 1) Combine like terms: 2x + 1x = 3x 18 + 3x = 2(1x + 4) + 2(1x + 1) Reorder the terms: 18 + 3x = 2(4 + 1x) + 2(1x + 1) 18 + 3x = (4 * 2 + 1x * 2) + 2(1x + 1) 18 + 3x = (8 + 2x) + 2(1x + 1) Reorder the terms: 18 + 3x = 8 + 2x + 2(1 + 1x) 18 + 3x = 8 + 2x + (1 * 2 + 1x * 2) 18 + 3x = 8 + 2x + (2 + 2x) Reorder the terms: 18 + 3x = 8 + 2 + 2x + 2x Combine like terms: 8 + 2 = 10 18 + 3x = 10 + 2x + 2x Combine like terms: 2x + 2x = 4x 18 + 3x = 10 + 4x Solving 18 + 3x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 3x + -4x = 10 + 4x + -4x Combine like terms: 3x + -4x = -1x 18 + -1x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -1x = 10 + 0 18 + -1x = 10 Add '-18' to each side of the equation. 18 + -18 + -1x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 10 + -18 -1x = 10 + -18 Combine like terms: 10 + -18 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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