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Simplifying (x + 2) + 2x = 2(x + 6) + 4x Reorder the terms: (2 + x) + 2x = 2(x + 6) + 4x Remove parenthesis around (2 + x) 2 + x + 2x = 2(x + 6) + 4x Combine like terms: x + 2x = 3x 2 + 3x = 2(x + 6) + 4x Reorder the terms: 2 + 3x = 2(6 + x) + 4x 2 + 3x = (6 * 2 + x * 2) + 4x 2 + 3x = (12 + 2x) + 4x Combine like terms: 2x + 4x = 6x 2 + 3x = 12 + 6x Solving 2 + 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. 2 + 3x + -6x = 12 + 6x + -6x Combine like terms: 3x + -6x = -3x 2 + -3x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -3x = 12 + 0 2 + -3x = 12 Add '-2' to each side of the equation. 2 + -2 + -3x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 12 + -2 -3x = 12 + -2 Combine like terms: 12 + -2 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333
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