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Simplifying 12 = 0.25(6x + 16) Reorder the terms: 12 = 0.25(16 + 6x) 12 = (16 * 0.25 + 6x * 0.25) 12 = (4 + 1.5x) Solving 12 = 4 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 12 + -1.5x = 4 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 12 + -1.5x = 4 + 0.0 12 + -1.5x = 4 Add '-12' to each side of the equation. 12 + -12 + -1.5x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -1.5x = 4 + -12 -1.5x = 4 + -12 Combine like terms: 4 + -12 = -8 -1.5x = -8 Divide each side by '-1.5'. x = 5.333333333 Simplifying x = 5.333333333
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