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Simplifying 8x + 14 = 6(1 + 2x) Reorder the terms: 14 + 8x = 6(1 + 2x) 14 + 8x = (1 * 6 + 2x * 6) 14 + 8x = (6 + 12x) Solving 14 + 8x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 14 + 8x + -12x = 6 + 12x + -12x Combine like terms: 8x + -12x = -4x 14 + -4x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -4x = 6 + 0 14 + -4x = 6 Add '-14' to each side of the equation. 14 + -14 + -4x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 6 + -14 -4x = 6 + -14 Combine like terms: 6 + -14 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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