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Simplifying 3(4 + 3.14) + -6 = 6x + 3.14 Combine like terms: 4 + 3.14 = 7.14 3(7.14) + -6 = 6x + 3.14 Multiply 3 * 7.14 21.42 + -6 = 6x + 3.14 Combine like terms: 21.42 + -6 = 15.42 15.42 = 6x + 3.14 Reorder the terms: 15.42 = 3.14 + 6x Solving 15.42 = 3.14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15.42 + -6x = 3.14 + 6x + -6x Combine like terms: 6x + -6x = 0 15.42 + -6x = 3.14 + 0 15.42 + -6x = 3.14 Add '-15.42' to each side of the equation. 15.42 + -15.42 + -6x = 3.14 + -15.42 Combine like terms: 15.42 + -15.42 = 0.00 0.00 + -6x = 3.14 + -15.42 -6x = 3.14 + -15.42 Combine like terms: 3.14 + -15.42 = -12.28 -6x = -12.28 Divide each side by '-6'. x = 2.046666667 Simplifying x = 2.046666667
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