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Simplifying 3(4x + -5) + -2(x + 9) = 0 Reorder the terms: 3(-5 + 4x) + -2(x + 9) = 0 (-5 * 3 + 4x * 3) + -2(x + 9) = 0 (-15 + 12x) + -2(x + 9) = 0 Reorder the terms: -15 + 12x + -2(9 + x) = 0 -15 + 12x + (9 * -2 + x * -2) = 0 -15 + 12x + (-18 + -2x) = 0 Reorder the terms: -15 + -18 + 12x + -2x = 0 Combine like terms: -15 + -18 = -33 -33 + 12x + -2x = 0 Combine like terms: 12x + -2x = 10x -33 + 10x = 0 Solving -33 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 10x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 10x = 0 + 33 10x = 0 + 33 Combine like terms: 0 + 33 = 33 10x = 33 Divide each side by '10'. x = 3.3 Simplifying x = 3.3
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