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Simplifying 3(x + -2) + -2(4 + -3x) = 0 Reorder the terms: 3(-2 + x) + -2(4 + -3x) = 0 (-2 * 3 + x * 3) + -2(4 + -3x) = 0 (-6 + 3x) + -2(4 + -3x) = 0 -6 + 3x + (4 * -2 + -3x * -2) = 0 -6 + 3x + (-8 + 6x) = 0 Reorder the terms: -6 + -8 + 3x + 6x = 0 Combine like terms: -6 + -8 = -14 -14 + 3x + 6x = 0 Combine like terms: 3x + 6x = 9x -14 + 9x = 0 Solving -14 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 0 + 14 9x = 0 + 14 Combine like terms: 0 + 14 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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