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Simplifying 6(7x + -6) + -3(3x + -2) = 0 Reorder the terms: 6(-6 + 7x) + -3(3x + -2) = 0 (-6 * 6 + 7x * 6) + -3(3x + -2) = 0 (-36 + 42x) + -3(3x + -2) = 0 Reorder the terms: -36 + 42x + -3(-2 + 3x) = 0 -36 + 42x + (-2 * -3 + 3x * -3) = 0 -36 + 42x + (6 + -9x) = 0 Reorder the terms: -36 + 6 + 42x + -9x = 0 Combine like terms: -36 + 6 = -30 -30 + 42x + -9x = 0 Combine like terms: 42x + -9x = 33x -30 + 33x = 0 Solving -30 + 33x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 33x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 33x = 0 + 30 33x = 0 + 30 Combine like terms: 0 + 30 = 30 33x = 30 Divide each side by '33'. x = 0.9090909091 Simplifying x = 0.9090909091
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