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Simplifying 6(2x + -2) + -2(3x + -5) = 0 Reorder the terms: 6(-2 + 2x) + -2(3x + -5) = 0 (-2 * 6 + 2x * 6) + -2(3x + -5) = 0 (-12 + 12x) + -2(3x + -5) = 0 Reorder the terms: -12 + 12x + -2(-5 + 3x) = 0 -12 + 12x + (-5 * -2 + 3x * -2) = 0 -12 + 12x + (10 + -6x) = 0 Reorder the terms: -12 + 10 + 12x + -6x = 0 Combine like terms: -12 + 10 = -2 -2 + 12x + -6x = 0 Combine like terms: 12x + -6x = 6x -2 + 6x = 0 Solving -2 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 0 + 2 6x = 0 + 2 Combine like terms: 0 + 2 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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