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Simplifying 6(7x + -3) + -6(4 + -3x) = 0 Reorder the terms: 6(-3 + 7x) + -6(4 + -3x) = 0 (-3 * 6 + 7x * 6) + -6(4 + -3x) = 0 (-18 + 42x) + -6(4 + -3x) = 0 -18 + 42x + (4 * -6 + -3x * -6) = 0 -18 + 42x + (-24 + 18x) = 0 Reorder the terms: -18 + -24 + 42x + 18x = 0 Combine like terms: -18 + -24 = -42 -42 + 42x + 18x = 0 Combine like terms: 42x + 18x = 60x -42 + 60x = 0 Solving -42 + 60x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 60x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 60x = 0 + 42 60x = 0 + 42 Combine like terms: 0 + 42 = 42 60x = 42 Divide each side by '60'. x = 0.7 Simplifying x = 0.7
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