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Simplifying 2(4x + 8) = 7x + 6 + 14 Reorder the terms: 2(8 + 4x) = 7x + 6 + 14 (8 * 2 + 4x * 2) = 7x + 6 + 14 (16 + 8x) = 7x + 6 + 14 Reorder the terms: 16 + 8x = 6 + 14 + 7x Combine like terms: 6 + 14 = 20 16 + 8x = 20 + 7x Solving 16 + 8x = 20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + 8x + -7x = 20 + 7x + -7x Combine like terms: 8x + -7x = 1x 16 + 1x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 1x = 20 + 0 16 + 1x = 20 Add '-16' to each side of the equation. 16 + -16 + 1x = 20 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 20 + -16 1x = 20 + -16 Combine like terms: 20 + -16 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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