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Simplifying 2(4x + 2) + -4x = 8x + 14 Reorder the terms: 2(2 + 4x) + -4x = 8x + 14 (2 * 2 + 4x * 2) + -4x = 8x + 14 (4 + 8x) + -4x = 8x + 14 Combine like terms: 8x + -4x = 4x 4 + 4x = 8x + 14 Reorder the terms: 4 + 4x = 14 + 8x Solving 4 + 4x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 4x + -8x = 14 + 8x + -8x Combine like terms: 4x + -8x = -4x 4 + -4x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -4x = 14 + 0 4 + -4x = 14 Add '-4' to each side of the equation. 4 + -4 + -4x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 14 + -4 -4x = 14 + -4 Combine like terms: 14 + -4 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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