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Simplifying 2[x + (x + 1)] = 9 + (x + 1) + (x + 2) Reorder the terms: 2[x + (1 + x)] = 9 + (x + 1) + (x + 2) Remove parenthesis around (1 + x) 2[x + 1 + x] = 9 + (x + 1) + (x + 2) Reorder the terms: 2[1 + x + x] = 9 + (x + 1) + (x + 2) Combine like terms: x + x = 2x 2[1 + 2x] = 9 + (x + 1) + (x + 2) [1 * 2 + 2x * 2] = 9 + (x + 1) + (x + 2) [2 + 4x] = 9 + (x + 1) + (x + 2) Reorder the terms: 2 + 4x = 9 + (1 + x) + (x + 2) Remove parenthesis around (1 + x) 2 + 4x = 9 + 1 + x + (x + 2) Reorder the terms: 2 + 4x = 9 + 1 + x + (2 + x) Remove parenthesis around (2 + x) 2 + 4x = 9 + 1 + x + 2 + x Reorder the terms: 2 + 4x = 9 + 1 + 2 + x + x Combine like terms: 9 + 1 = 10 2 + 4x = 10 + 2 + x + x Combine like terms: 10 + 2 = 12 2 + 4x = 12 + x + x Combine like terms: x + x = 2x 2 + 4x = 12 + 2x Solving 2 + 4x = 12 + 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. 2 + 4x + -2x = 12 + 2x + -2x Combine like terms: 4x + -2x = 2x 2 + 2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 2x = 12 + 0 2 + 2x = 12 Add '-2' to each side of the equation. 2 + -2 + 2x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 12 + -2 2x = 12 + -2 Combine like terms: 12 + -2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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