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Simplifying 2(x + 3) + 4(3x + -6) = 0 Reorder the terms: 2(3 + x) + 4(3x + -6) = 0 (3 * 2 + x * 2) + 4(3x + -6) = 0 (6 + 2x) + 4(3x + -6) = 0 Reorder the terms: 6 + 2x + 4(-6 + 3x) = 0 6 + 2x + (-6 * 4 + 3x * 4) = 0 6 + 2x + (-24 + 12x) = 0 Reorder the terms: 6 + -24 + 2x + 12x = 0 Combine like terms: 6 + -24 = -18 -18 + 2x + 12x = 0 Combine like terms: 2x + 12x = 14x -18 + 14x = 0 Solving -18 + 14x = 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 + 14x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = 0 + 18 14x = 0 + 18 Combine like terms: 0 + 18 = 18 14x = 18 Divide each side by '14'. x = 1.285714286 Simplifying x = 1.285714286
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