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Simplifying 6(2x) + 6(1) + 9(3x) + 9(-3) = 0 Remove parenthesis around (2x) 6 * 2x + 6(1) + 9(3x) + 9(-3) = 0 Multiply 6 * 2 12x + 6(1) + 9(3x) + 9(-3) = 0 Multiply 6 * 1 12x + 6 + 9(3x) + 9(-3) = 0 Remove parenthesis around (3x) 12x + 6 + 9 * 3x + 9(-3) = 0 Multiply 9 * 3 12x + 6 + 27x + 9(-3) = 0 Multiply 9 * -3 12x + 6 + 27x + -27 = 0 Reorder the terms: 6 + -27 + 12x + 27x = 0 Combine like terms: 6 + -27 = -21 -21 + 12x + 27x = 0 Combine like terms: 12x + 27x = 39x -21 + 39x = 0 Solving -21 + 39x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 39x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 39x = 0 + 21 39x = 0 + 21 Combine like terms: 0 + 21 = 21 39x = 21 Divide each side by '39'. x = 0.5384615385 Simplifying x = 0.5384615385
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