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Simplifying 3(4 + -2x) + -5(3 + -3x) = 0 (4 * 3 + -2x * 3) + -5(3 + -3x) = 0 (12 + -6x) + -5(3 + -3x) = 0 12 + -6x + (3 * -5 + -3x * -5) = 0 12 + -6x + (-15 + 15x) = 0 Reorder the terms: 12 + -15 + -6x + 15x = 0 Combine like terms: 12 + -15 = -3 -3 + -6x + 15x = 0 Combine like terms: -6x + 15x = 9x -3 + 9x = 0 Solving -3 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 9x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 0 + 3 9x = 0 + 3 Combine like terms: 0 + 3 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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