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Simplifying 2(4x + 4) + 6 = 3x + 9 Reorder the terms: 2(4 + 4x) + 6 = 3x + 9 (4 * 2 + 4x * 2) + 6 = 3x + 9 (8 + 8x) + 6 = 3x + 9 Reorder the terms: 8 + 6 + 8x = 3x + 9 Combine like terms: 8 + 6 = 14 14 + 8x = 3x + 9 Reorder the terms: 14 + 8x = 9 + 3x Solving 14 + 8x = 9 + 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. 14 + 8x + -3x = 9 + 3x + -3x Combine like terms: 8x + -3x = 5x 14 + 5x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 5x = 9 + 0 14 + 5x = 9 Add '-14' to each side of the equation. 14 + -14 + 5x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 9 + -14 5x = 9 + -14 Combine like terms: 9 + -14 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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