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Simplifying 2(8 + 3x) = 4x + 9 (8 * 2 + 3x * 2) = 4x + 9 (16 + 6x) = 4x + 9 Reorder the terms: 16 + 6x = 9 + 4x Solving 16 + 6x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + 6x + -4x = 9 + 4x + -4x Combine like terms: 6x + -4x = 2x 16 + 2x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + 2x = 9 + 0 16 + 2x = 9 Add '-16' to each side of the equation. 16 + -16 + 2x = 9 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 9 + -16 2x = 9 + -16 Combine like terms: 9 + -16 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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