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Simplifying 6x + 6(x + -3) + 3(x + 4) = 0 Reorder the terms: 6x + 6(-3 + x) + 3(x + 4) = 0 6x + (-3 * 6 + x * 6) + 3(x + 4) = 0 6x + (-18 + 6x) + 3(x + 4) = 0 Reorder the terms: 6x + -18 + 6x + 3(4 + x) = 0 6x + -18 + 6x + (4 * 3 + x * 3) = 0 6x + -18 + 6x + (12 + 3x) = 0 Reorder the terms: -18 + 12 + 6x + 6x + 3x = 0 Combine like terms: -18 + 12 = -6 -6 + 6x + 6x + 3x = 0 Combine like terms: 6x + 6x = 12x -6 + 12x + 3x = 0 Combine like terms: 12x + 3x = 15x -6 + 15x = 0 Solving -6 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 15x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 0 + 6 15x = 0 + 6 Combine like terms: 0 + 6 = 6 15x = 6 Divide each side by '15'. x = 0.4 Simplifying x = 0.4
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