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Simplifying 0.42x + 0.66(120 + -1x) = 0.62(120) 0.42x + (120 * 0.66 + -1x * 0.66) = 0.62(120) 0.42x + (79.2 + -0.66x) = 0.62(120) Reorder the terms: 79.2 + 0.42x + -0.66x = 0.62(120) Combine like terms: 0.42x + -0.66x = -0.24x 79.2 + -0.24x = 0.62(120) Multiply 0.62 * 120 79.2 + -0.24x = 74.4 Solving 79.2 + -0.24x = 74.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-79.2' to each side of the equation. 79.2 + -79.2 + -0.24x = 74.4 + -79.2 Combine like terms: 79.2 + -79.2 = 0.0 0.0 + -0.24x = 74.4 + -79.2 -0.24x = 74.4 + -79.2 Combine like terms: 74.4 + -79.2 = -4.8 -0.24x = -4.8 Divide each side by '-0.24'. x = 20 Simplifying x = 20
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