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Simplifying 2(3x + -5) + 3(2x + 3) = 0 Reorder the terms: 2(-5 + 3x) + 3(2x + 3) = 0 (-5 * 2 + 3x * 2) + 3(2x + 3) = 0 (-10 + 6x) + 3(2x + 3) = 0 Reorder the terms: -10 + 6x + 3(3 + 2x) = 0 -10 + 6x + (3 * 3 + 2x * 3) = 0 -10 + 6x + (9 + 6x) = 0 Reorder the terms: -10 + 9 + 6x + 6x = 0 Combine like terms: -10 + 9 = -1 -1 + 6x + 6x = 0 Combine like terms: 6x + 6x = 12x -1 + 12x = 0 Solving -1 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 12x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 0 + 1 12x = 0 + 1 Combine like terms: 0 + 1 = 1 12x = 1 Divide each side by '12'. x = 0.08333333333 Simplifying x = 0.08333333333
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