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Simplifying 2(3x + -1) * 3 + -5(3x + -1) * 2 = 0 Reorder the terms: 2(-1 + 3x) * 3 + -5(3x + -1) * 2 = 0 Reorder the terms for easier multiplication: 2 * 3(-1 + 3x) + -5(3x + -1) * 2 = 0 Multiply 2 * 3 6(-1 + 3x) + -5(3x + -1) * 2 = 0 (-1 * 6 + 3x * 6) + -5(3x + -1) * 2 = 0 (-6 + 18x) + -5(3x + -1) * 2 = 0 Reorder the terms: -6 + 18x + -5(-1 + 3x) * 2 = 0 Reorder the terms for easier multiplication: -6 + 18x + -5 * 2(-1 + 3x) = 0 Multiply -5 * 2 -6 + 18x + -10(-1 + 3x) = 0 -6 + 18x + (-1 * -10 + 3x * -10) = 0 -6 + 18x + (10 + -30x) = 0 Reorder the terms: -6 + 10 + 18x + -30x = 0 Combine like terms: -6 + 10 = 4 4 + 18x + -30x = 0 Combine like terms: 18x + -30x = -12x 4 + -12x = 0 Solving 4 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -12x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 0 + -4 -12x = 0 + -4 Combine like terms: 0 + -4 = -4 -12x = -4 Divide each side by '-12'. x = 0.3333333333 Simplifying x = 0.3333333333
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