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Simplifying 6(7x + -4) + -3(x + -2) = 0 Reorder the terms: 6(-4 + 7x) + -3(x + -2) = 0 (-4 * 6 + 7x * 6) + -3(x + -2) = 0 (-24 + 42x) + -3(x + -2) = 0 Reorder the terms: -24 + 42x + -3(-2 + x) = 0 -24 + 42x + (-2 * -3 + x * -3) = 0 -24 + 42x + (6 + -3x) = 0 Reorder the terms: -24 + 6 + 42x + -3x = 0 Combine like terms: -24 + 6 = -18 -18 + 42x + -3x = 0 Combine like terms: 42x + -3x = 39x -18 + 39x = 0 Solving -18 + 39x = 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 + 39x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 39x = 0 + 18 39x = 0 + 18 Combine like terms: 0 + 18 = 18 39x = 18 Divide each side by '39'. x = 0.4615384615 Simplifying x = 0.4615384615
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