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Simplifying 2(x + -3) + 4(3 + -2x) = 0 Reorder the terms: 2(-3 + x) + 4(3 + -2x) = 0 (-3 * 2 + x * 2) + 4(3 + -2x) = 0 (-6 + 2x) + 4(3 + -2x) = 0 -6 + 2x + (3 * 4 + -2x * 4) = 0 -6 + 2x + (12 + -8x) = 0 Reorder the terms: -6 + 12 + 2x + -8x = 0 Combine like terms: -6 + 12 = 6 6 + 2x + -8x = 0 Combine like terms: 2x + -8x = -6x 6 + -6x = 0 Solving 6 + -6x = 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 + -6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 0 + -6 -6x = 0 + -6 Combine like terms: 0 + -6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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