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Simplifying 150.012 = 5.4(2.7 + 5.7x) 150.012 = (2.7 * 5.4 + 5.7x * 5.4) 150.012 = (14.58 + 30.78x) Solving 150.012 = 14.58 + 30.78x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30.78x' to each side of the equation. 150.012 + -30.78x = 14.58 + 30.78x + -30.78x Combine like terms: 30.78x + -30.78x = 0.00 150.012 + -30.78x = 14.58 + 0.00 150.012 + -30.78x = 14.58 Add '-150.012' to each side of the equation. 150.012 + -150.012 + -30.78x = 14.58 + -150.012 Combine like terms: 150.012 + -150.012 = 0.000 0.000 + -30.78x = 14.58 + -150.012 -30.78x = 14.58 + -150.012 Combine like terms: 14.58 + -150.012 = -135.432 -30.78x = -135.432 Divide each side by '-30.78'. x = 4.4 Simplifying x = 4.4
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