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Simplifying 2(3x + 8) + 9 = 9 + 2x Reorder the terms: 2(8 + 3x) + 9 = 9 + 2x (8 * 2 + 3x * 2) + 9 = 9 + 2x (16 + 6x) + 9 = 9 + 2x Reorder the terms: 16 + 9 + 6x = 9 + 2x Combine like terms: 16 + 9 = 25 25 + 6x = 9 + 2x Solving 25 + 6x = 9 + 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 + 6x + -2x = 9 + 2x + -2x Combine like terms: 6x + -2x = 4x 25 + 4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + 4x = 9 + 0 25 + 4x = 9 Add '-25' to each side of the equation. 25 + -25 + 4x = 9 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 9 + -25 4x = 9 + -25 Combine like terms: 9 + -25 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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