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Simplifying x + (x + 1) + (x + 2) = 6(x + 2) Reorder the terms: x + (1 + x) + (x + 2) = 6(x + 2) Remove parenthesis around (1 + x) x + 1 + x + (x + 2) = 6(x + 2) Reorder the terms: x + 1 + x + (2 + x) = 6(x + 2) Remove parenthesis around (2 + x) x + 1 + x + 2 + x = 6(x + 2) Reorder the terms: 1 + 2 + x + x + x = 6(x + 2) Combine like terms: 1 + 2 = 3 3 + x + x + x = 6(x + 2) Combine like terms: x + x = 2x 3 + 2x + x = 6(x + 2) Combine like terms: 2x + x = 3x 3 + 3x = 6(x + 2) Reorder the terms: 3 + 3x = 6(2 + x) 3 + 3x = (2 * 6 + x * 6) 3 + 3x = (12 + 6x) Solving 3 + 3x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 3x + -6x = 12 + 6x + -6x Combine like terms: 3x + -6x = -3x 3 + -3x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -3x = 12 + 0 3 + -3x = 12 Add '-3' to each side of the equation. 3 + -3 + -3x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 12 + -3 -3x = 12 + -3 Combine like terms: 12 + -3 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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