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Simplifying 2(3x + -3) = 3(x + 9) Reorder the terms: 2(-3 + 3x) = 3(x + 9) (-3 * 2 + 3x * 2) = 3(x + 9) (-6 + 6x) = 3(x + 9) Reorder the terms: -6 + 6x = 3(9 + x) -6 + 6x = (9 * 3 + x * 3) -6 + 6x = (27 + 3x) Solving -6 + 6x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 6x + -3x = 27 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = 27 + 0 -6 + 3x = 27 Add '6' to each side of the equation. -6 + 6 + 3x = 27 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 27 + 6 3x = 27 + 6 Combine like terms: 27 + 6 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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