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Simplifying 1.5(40 * 7) + 51x = 378.55 Multiply 40 * 7 1.5(280) + 51x = 378.55 Multiply 1.5 * 280 420 + 51x = 378.55 Solving 420 + 51x = 378.55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + -420 + 51x = 378.55 + -420 Combine like terms: 420 + -420 = 0 0 + 51x = 378.55 + -420 51x = 378.55 + -420 Combine like terms: 378.55 + -420 = -41.45 51x = -41.45 Divide each side by '51'. x = -0.812745098 Simplifying x = -0.812745098
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