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Simplifying 6(3x + -3) = (6x + 8) Reorder the terms: 6(-3 + 3x) = (6x + 8) (-3 * 6 + 3x * 6) = (6x + 8) (-18 + 18x) = (6x + 8) Reorder the terms: -18 + 18x = (8 + 6x) Remove parenthesis around (8 + 6x) -18 + 18x = 8 + 6x Solving -18 + 18x = 8 + 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. -18 + 18x + -6x = 8 + 6x + -6x Combine like terms: 18x + -6x = 12x -18 + 12x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 12x = 8 + 0 -18 + 12x = 8 Add '18' to each side of the equation. -18 + 18 + 12x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 8 + 18 12x = 8 + 18 Combine like terms: 8 + 18 = 26 12x = 26 Divide each side by '12'. x = 2.166666667 Simplifying x = 2.166666667
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