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Simplifying 0.378x + 0.757(500 + -1x) = 215 0.378x + (500 * 0.757 + -1x * 0.757) = 215 0.378x + (378.5 + -0.757x) = 215 Reorder the terms: 378.5 + 0.378x + -0.757x = 215 Combine like terms: 0.378x + -0.757x = -0.379x 378.5 + -0.379x = 215 Solving 378.5 + -0.379x = 215 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-378.5' to each side of the equation. 378.5 + -378.5 + -0.379x = 215 + -378.5 Combine like terms: 378.5 + -378.5 = 0.0 0.0 + -0.379x = 215 + -378.5 -0.379x = 215 + -378.5 Combine like terms: 215 + -378.5 = -163.5 -0.379x = -163.5 Divide each side by '-0.379'. x = 431.3984169 Simplifying x = 431.3984169
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