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Simplifying 2(2x + 3) = x + 9 + 2x + 2 Reorder the terms: 2(3 + 2x) = x + 9 + 2x + 2 (3 * 2 + 2x * 2) = x + 9 + 2x + 2 (6 + 4x) = x + 9 + 2x + 2 Reorder the terms: 6 + 4x = 9 + 2 + x + 2x Combine like terms: 9 + 2 = 11 6 + 4x = 11 + x + 2x Combine like terms: x + 2x = 3x 6 + 4x = 11 + 3x Solving 6 + 4x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 4x + -3x = 11 + 3x + -3x Combine like terms: 4x + -3x = 1x 6 + 1x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 1x = 11 + 0 6 + 1x = 11 Add '-6' to each side of the equation. 6 + -6 + 1x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 11 + -6 1x = 11 + -6 Combine like terms: 11 + -6 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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