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Simplifying 3(2x + -3) + -5(x + -4) = 9 Reorder the terms: 3(-3 + 2x) + -5(x + -4) = 9 (-3 * 3 + 2x * 3) + -5(x + -4) = 9 (-9 + 6x) + -5(x + -4) = 9 Reorder the terms: -9 + 6x + -5(-4 + x) = 9 -9 + 6x + (-4 * -5 + x * -5) = 9 -9 + 6x + (20 + -5x) = 9 Reorder the terms: -9 + 20 + 6x + -5x = 9 Combine like terms: -9 + 20 = 11 11 + 6x + -5x = 9 Combine like terms: 6x + -5x = 1x 11 + 1x = 9 Solving 11 + 1x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1x = 9 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 9 + -11 1x = 9 + -11 Combine like terms: 9 + -11 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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