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Simplifying 6(x + -3) + -3(-2x + -8) = 0 Reorder the terms: 6(-3 + x) + -3(-2x + -8) = 0 (-3 * 6 + x * 6) + -3(-2x + -8) = 0 (-18 + 6x) + -3(-2x + -8) = 0 Reorder the terms: -18 + 6x + -3(-8 + -2x) = 0 -18 + 6x + (-8 * -3 + -2x * -3) = 0 -18 + 6x + (24 + 6x) = 0 Reorder the terms: -18 + 24 + 6x + 6x = 0 Combine like terms: -18 + 24 = 6 6 + 6x + 6x = 0 Combine like terms: 6x + 6x = 12x 6 + 12x = 0 Solving 6 + 12x = 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 + 12x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 0 + -6 12x = 0 + -6 Combine like terms: 0 + -6 = -6 12x = -6 Divide each side by '12'. x = -0.5 Simplifying x = -0.5
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