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Simplifying 2(3 + 3x) + -3(1 + -3x) + -7(3 + -3x) = 0 (3 * 2 + 3x * 2) + -3(1 + -3x) + -7(3 + -3x) = 0 (6 + 6x) + -3(1 + -3x) + -7(3 + -3x) = 0 6 + 6x + (1 * -3 + -3x * -3) + -7(3 + -3x) = 0 6 + 6x + (-3 + 9x) + -7(3 + -3x) = 0 6 + 6x + -3 + 9x + (3 * -7 + -3x * -7) = 0 6 + 6x + -3 + 9x + (-21 + 21x) = 0 Reorder the terms: 6 + -3 + -21 + 6x + 9x + 21x = 0 Combine like terms: 6 + -3 = 3 3 + -21 + 6x + 9x + 21x = 0 Combine like terms: 3 + -21 = -18 -18 + 6x + 9x + 21x = 0 Combine like terms: 6x + 9x = 15x -18 + 15x + 21x = 0 Combine like terms: 15x + 21x = 36x -18 + 36x = 0 Solving -18 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 36x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 36x = 0 + 18 36x = 0 + 18 Combine like terms: 0 + 18 = 18 36x = 18 Divide each side by '36'. x = 0.5 Simplifying x = 0.5
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