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Simplifying 3(2x + -3) + -1(4x + -5) = 0 Reorder the terms: 3(-3 + 2x) + -1(4x + -5) = 0 (-3 * 3 + 2x * 3) + -1(4x + -5) = 0 (-9 + 6x) + -1(4x + -5) = 0 Reorder the terms: -9 + 6x + -1(-5 + 4x) = 0 -9 + 6x + (-5 * -1 + 4x * -1) = 0 -9 + 6x + (5 + -4x) = 0 Reorder the terms: -9 + 5 + 6x + -4x = 0 Combine like terms: -9 + 5 = -4 -4 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -4 + 2x = 0 Solving -4 + 2x = 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 + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 0 + 4 2x = 0 + 4 Combine like terms: 0 + 4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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