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Simplifying 2(2x + 6) + 9 = 2x + 29 Reorder the terms: 2(6 + 2x) + 9 = 2x + 29 (6 * 2 + 2x * 2) + 9 = 2x + 29 (12 + 4x) + 9 = 2x + 29 Reorder the terms: 12 + 9 + 4x = 2x + 29 Combine like terms: 12 + 9 = 21 21 + 4x = 2x + 29 Reorder the terms: 21 + 4x = 29 + 2x Solving 21 + 4x = 29 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 4x + -2x = 29 + 2x + -2x Combine like terms: 4x + -2x = 2x 21 + 2x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 2x = 29 + 0 21 + 2x = 29 Add '-21' to each side of the equation. 21 + -21 + 2x = 29 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 29 + -21 2x = 29 + -21 Combine like terms: 29 + -21 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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