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Simplifying 2 + 6(3x + -9) = 3 + -3(6x + -8) Reorder the terms: 2 + 6(-9 + 3x) = 3 + -3(6x + -8) 2 + (-9 * 6 + 3x * 6) = 3 + -3(6x + -8) 2 + (-54 + 18x) = 3 + -3(6x + -8) Combine like terms: 2 + -54 = -52 -52 + 18x = 3 + -3(6x + -8) Reorder the terms: -52 + 18x = 3 + -3(-8 + 6x) -52 + 18x = 3 + (-8 * -3 + 6x * -3) -52 + 18x = 3 + (24 + -18x) Combine like terms: 3 + 24 = 27 -52 + 18x = 27 + -18x Solving -52 + 18x = 27 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -52 + 18x + 18x = 27 + -18x + 18x Combine like terms: 18x + 18x = 36x -52 + 36x = 27 + -18x + 18x Combine like terms: -18x + 18x = 0 -52 + 36x = 27 + 0 -52 + 36x = 27 Add '52' to each side of the equation. -52 + 52 + 36x = 27 + 52 Combine like terms: -52 + 52 = 0 0 + 36x = 27 + 52 36x = 27 + 52 Combine like terms: 27 + 52 = 79 36x = 79 Divide each side by '36'. x = 2.194444444 Simplifying x = 2.194444444
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