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Simplifying 0.25(8x + 12) + 0.5(6x + 7) = 14 Reorder the terms: 0.25(12 + 8x) + 0.5(6x + 7) = 14 (12 * 0.25 + 8x * 0.25) + 0.5(6x + 7) = 14 (3 + 2x) + 0.5(6x + 7) = 14 Reorder the terms: 3 + 2x + 0.5(7 + 6x) = 14 3 + 2x + (7 * 0.5 + 6x * 0.5) = 14 3 + 2x + (3.5 + 3x) = 14 Reorder the terms: 3 + 3.5 + 2x + 3x = 14 Combine like terms: 3 + 3.5 = 6.5 6.5 + 2x + 3x = 14 Combine like terms: 2x + 3x = 5x 6.5 + 5x = 14 Solving 6.5 + 5x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + 5x = 14 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 5x = 14 + -6.5 5x = 14 + -6.5 Combine like terms: 14 + -6.5 = 7.5 5x = 7.5 Divide each side by '5'. x = 1.5 Simplifying x = 1.5
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