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Simplifying 2(2x + 8) + 9 = 1 + 2x Reorder the terms: 2(8 + 2x) + 9 = 1 + 2x (8 * 2 + 2x * 2) + 9 = 1 + 2x (16 + 4x) + 9 = 1 + 2x Reorder the terms: 16 + 9 + 4x = 1 + 2x Combine like terms: 16 + 9 = 25 25 + 4x = 1 + 2x Solving 25 + 4x = 1 + 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. 25 + 4x + -2x = 1 + 2x + -2x Combine like terms: 4x + -2x = 2x 25 + 2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + 2x = 1 + 0 25 + 2x = 1 Add '-25' to each side of the equation. 25 + -25 + 2x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 1 + -25 2x = 1 + -25 Combine like terms: 1 + -25 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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