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Simplifying 2(9x + -5) + -3(2x + 4) = 0 Reorder the terms: 2(-5 + 9x) + -3(2x + 4) = 0 (-5 * 2 + 9x * 2) + -3(2x + 4) = 0 (-10 + 18x) + -3(2x + 4) = 0 Reorder the terms: -10 + 18x + -3(4 + 2x) = 0 -10 + 18x + (4 * -3 + 2x * -3) = 0 -10 + 18x + (-12 + -6x) = 0 Reorder the terms: -10 + -12 + 18x + -6x = 0 Combine like terms: -10 + -12 = -22 -22 + 18x + -6x = 0 Combine like terms: 18x + -6x = 12x -22 + 12x = 0 Solving -22 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 12x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 12x = 0 + 22 12x = 0 + 22 Combine like terms: 0 + 22 = 22 12x = 22 Divide each side by '12'. x = 1.833333333 Simplifying x = 1.833333333
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