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Simplifying (3 + 11) * x = 0.5(4x + 6) Combine like terms: 3 + 11 = 14 (14) * x = 0.5(4x + 6) Reorder the terms: 14x = 0.5(6 + 4x) 14x = (6 * 0.5 + 4x * 0.5) 14x = (3 + 2x) Solving 14x = 3 + 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. 14x + -2x = 3 + 2x + -2x Combine like terms: 14x + -2x = 12x 12x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 12x = 3 + 0 12x = 3 Divide each side by '12'. x = 0.25 Simplifying x = 0.25
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