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