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Simplifying 6(3x + -4) + -1(9x + -5) = 0 Reorder the terms: 6(-4 + 3x) + -1(9x + -5) = 0 (-4 * 6 + 3x * 6) + -1(9x + -5) = 0 (-24 + 18x) + -1(9x + -5) = 0 Reorder the terms: -24 + 18x + -1(-5 + 9x) = 0 -24 + 18x + (-5 * -1 + 9x * -1) = 0 -24 + 18x + (5 + -9x) = 0 Reorder the terms: -24 + 5 + 18x + -9x = 0 Combine like terms: -24 + 5 = -19 -19 + 18x + -9x = 0 Combine like terms: 18x + -9x = 9x -19 + 9x = 0 Solving -19 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 9x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 9x = 0 + 19 9x = 0 + 19 Combine like terms: 0 + 19 = 19 9x = 19 Divide each side by '9'. x = 2.111111111 Simplifying x = 2.111111111
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