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