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Simplifying 5.07 + -3.21(2x + -1) = 7 + -2.37x Reorder the terms: 5.07 + -3.21(-1 + 2x) = 7 + -2.37x 5.07 + (-1 * -3.21 + 2x * -3.21) = 7 + -2.37x 5.07 + (3.21 + -6.42x) = 7 + -2.37x Combine like terms: 5.07 + 3.21 = 8.28 8.28 + -6.42x = 7 + -2.37x Solving 8.28 + -6.42x = 7 + -2.37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.37x' to each side of the equation. 8.28 + -6.42x + 2.37x = 7 + -2.37x + 2.37x Combine like terms: -6.42x + 2.37x = -4.05x 8.28 + -4.05x = 7 + -2.37x + 2.37x Combine like terms: -2.37x + 2.37x = 0.00 8.28 + -4.05x = 7 + 0.00 8.28 + -4.05x = 7 Add '-8.28' to each side of the equation. 8.28 + -8.28 + -4.05x = 7 + -8.28 Combine like terms: 8.28 + -8.28 = 0.00 0.00 + -4.05x = 7 + -8.28 -4.05x = 7 + -8.28 Combine like terms: 7 + -8.28 = -1.28 -4.05x = -1.28 Divide each side by '-4.05'. x = 0.3160493827 Simplifying x = 0.3160493827
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