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Simplifying 3 + 2(3x + -6) = 8 + -3(2x + 1) Reorder the terms: 3 + 2(-6 + 3x) = 8 + -3(2x + 1) 3 + (-6 * 2 + 3x * 2) = 8 + -3(2x + 1) 3 + (-12 + 6x) = 8 + -3(2x + 1) Combine like terms: 3 + -12 = -9 -9 + 6x = 8 + -3(2x + 1) Reorder the terms: -9 + 6x = 8 + -3(1 + 2x) -9 + 6x = 8 + (1 * -3 + 2x * -3) -9 + 6x = 8 + (-3 + -6x) Combine like terms: 8 + -3 = 5 -9 + 6x = 5 + -6x Solving -9 + 6x = 5 + -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. -9 + 6x + 6x = 5 + -6x + 6x Combine like terms: 6x + 6x = 12x -9 + 12x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 12x = 5 + 0 -9 + 12x = 5 Add '9' to each side of the equation. -9 + 9 + 12x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 12x = 5 + 9 12x = 5 + 9 Combine like terms: 5 + 9 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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