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Simplifying 3 + 6(x + -5) = 8 + -6(x + -5) Reorder the terms: 3 + 6(-5 + x) = 8 + -6(x + -5) 3 + (-5 * 6 + x * 6) = 8 + -6(x + -5) 3 + (-30 + 6x) = 8 + -6(x + -5) Combine like terms: 3 + -30 = -27 -27 + 6x = 8 + -6(x + -5) Reorder the terms: -27 + 6x = 8 + -6(-5 + x) -27 + 6x = 8 + (-5 * -6 + x * -6) -27 + 6x = 8 + (30 + -6x) Combine like terms: 8 + 30 = 38 -27 + 6x = 38 + -6x Solving -27 + 6x = 38 + -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. -27 + 6x + 6x = 38 + -6x + 6x Combine like terms: 6x + 6x = 12x -27 + 12x = 38 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 12x = 38 + 0 -27 + 12x = 38 Add '27' to each side of the equation. -27 + 27 + 12x = 38 + 27 Combine like terms: -27 + 27 = 0 0 + 12x = 38 + 27 12x = 38 + 27 Combine like terms: 38 + 27 = 65 12x = 65 Divide each side by '12'. x = 5.416666667 Simplifying x = 5.416666667
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