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Simplifying 0.25x(12 + 20) + -5.75 = 18.25 Combine like terms: 12 + 20 = 32 0.25x(32) + -5.75 = 18.25 Reorder the terms for easier multiplication: 0.25 * 32x + -5.75 = 18.25 Multiply 0.25 * 32 8x + -5.75 = 18.25 Reorder the terms: -5.75 + 8x = 18.25 Solving -5.75 + 8x = 18.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.75' to each side of the equation. -5.75 + 5.75 + 8x = 18.25 + 5.75 Combine like terms: -5.75 + 5.75 = 0.00 0.00 + 8x = 18.25 + 5.75 8x = 18.25 + 5.75 Combine like terms: 18.25 + 5.75 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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