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Simplifying 0.48x + 0.72(120 + -1x) = 0.66(120) 0.48x + (120 * 0.72 + -1x * 0.72) = 0.66(120) 0.48x + (86.4 + -0.72x) = 0.66(120) Reorder the terms: 86.4 + 0.48x + -0.72x = 0.66(120) Combine like terms: 0.48x + -0.72x = -0.24x 86.4 + -0.24x = 0.66(120) Multiply 0.66 * 120 86.4 + -0.24x = 79.2 Solving 86.4 + -0.24x = 79.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-86.4' to each side of the equation. 86.4 + -86.4 + -0.24x = 79.2 + -86.4 Combine like terms: 86.4 + -86.4 = 0.0 0.0 + -0.24x = 79.2 + -86.4 -0.24x = 79.2 + -86.4 Combine like terms: 79.2 + -86.4 = -7.2 -0.24x = -7.2 Divide each side by '-0.24'. x = 30 Simplifying x = 30
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