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Simplifying 4x + -0.3(5x + -0.2) = 75.06 Reorder the terms: 4x + -0.3(-0.2 + 5x) = 75.06 4x + (-0.2 * -0.3 + 5x * -0.3) = 75.06 4x + (0.06 + -1.5x) = 75.06 Reorder the terms: 0.06 + 4x + -1.5x = 75.06 Combine like terms: 4x + -1.5x = 2.5x 0.06 + 2.5x = 75.06 Solving 0.06 + 2.5x = 75.06 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06' to each side of the equation. 0.06 + -0.06 + 2.5x = 75.06 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + 2.5x = 75.06 + -0.06 2.5x = 75.06 + -0.06 Combine like terms: 75.06 + -0.06 = 75 2.5x = 75 Divide each side by '2.5'. x = 30 Simplifying x = 30
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