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Simplifying 14 = 0.5(8x + 12) Reorder the terms: 14 = 0.5(12 + 8x) 14 = (12 * 0.5 + 8x * 0.5) 14 = (6 + 4x) Solving 14 = 6 + 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. 14 + -4x = 6 + 4x + -4x Combine like terms: 4x + -4x = 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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