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Simplifying 0.75(4x + 10) = 0 Reorder the terms: 0.75(10 + 4x) = 0 (10 * 0.75 + 4x * 0.75) = 0 (7.5 + 3x) = 0 Solving 7.5 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + 3x = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 3x = 0 + -7.5 3x = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 3x = -7.5 Divide each side by '3'. x = -2.5 Simplifying x = -2.5
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