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Simplifying 2x + (3x + -6) + 2(2x + -4) = 6 Reorder the terms: 2x + (-6 + 3x) + 2(2x + -4) = 6 Remove parenthesis around (-6 + 3x) 2x + -6 + 3x + 2(2x + -4) = 6 Reorder the terms: 2x + -6 + 3x + 2(-4 + 2x) = 6 2x + -6 + 3x + (-4 * 2 + 2x * 2) = 6 2x + -6 + 3x + (-8 + 4x) = 6 Reorder the terms: -6 + -8 + 2x + 3x + 4x = 6 Combine like terms: -6 + -8 = -14 -14 + 2x + 3x + 4x = 6 Combine like terms: 2x + 3x = 5x -14 + 5x + 4x = 6 Combine like terms: 5x + 4x = 9x -14 + 9x = 6 Solving -14 + 9x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 6 + 14 9x = 6 + 14 Combine like terms: 6 + 14 = 20 9x = 20 Divide each side by '9'. x = 2.222222222 Simplifying x = 2.222222222
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