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Simplifying 0.43x + 0.67(120 + -1x) = 0.61(120) 0.43x + (120 * 0.67 + -1x * 0.67) = 0.61(120) 0.43x + (80.4 + -0.67x) = 0.61(120) Reorder the terms: 80.4 + 0.43x + -0.67x = 0.61(120) Combine like terms: 0.43x + -0.67x = -0.24x 80.4 + -0.24x = 0.61(120) Multiply 0.61 * 120 80.4 + -0.24x = 73.2 Solving 80.4 + -0.24x = 73.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80.4' to each side of the equation. 80.4 + -80.4 + -0.24x = 73.2 + -80.4 Combine like terms: 80.4 + -80.4 = 0.0 0.0 + -0.24x = 73.2 + -80.4 -0.24x = 73.2 + -80.4 Combine like terms: 73.2 + -80.4 = -7.2 -0.24x = -7.2 Divide each side by '-0.24'. x = 30 Simplifying x = 30
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