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