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Simplifying 2x + 3(x + -2) + -3(x + -6) = 0 Reorder the terms: 2x + 3(-2 + x) + -3(x + -6) = 0 2x + (-2 * 3 + x * 3) + -3(x + -6) = 0 2x + (-6 + 3x) + -3(x + -6) = 0 Reorder the terms: 2x + -6 + 3x + -3(-6 + x) = 0 2x + -6 + 3x + (-6 * -3 + x * -3) = 0 2x + -6 + 3x + (18 + -3x) = 0 Reorder the terms: -6 + 18 + 2x + 3x + -3x = 0 Combine like terms: -6 + 18 = 12 12 + 2x + 3x + -3x = 0 Combine like terms: 2x + 3x = 5x 12 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 12 + 2x = 0 Solving 12 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 0 + -12 2x = 0 + -12 Combine like terms: 0 + -12 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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