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Simplifying 2(4x + 3) + 8 = 32 + 2x Reorder the terms: 2(3 + 4x) + 8 = 32 + 2x (3 * 2 + 4x * 2) + 8 = 32 + 2x (6 + 8x) + 8 = 32 + 2x Reorder the terms: 6 + 8 + 8x = 32 + 2x Combine like terms: 6 + 8 = 14 14 + 8x = 32 + 2x Solving 14 + 8x = 32 + 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. 14 + 8x + -2x = 32 + 2x + -2x Combine like terms: 8x + -2x = 6x 14 + 6x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 6x = 32 + 0 14 + 6x = 32 Add '-14' to each side of the equation. 14 + -14 + 6x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 32 + -14 6x = 32 + -14 Combine like terms: 32 + -14 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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