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Simplifying -9(2x + 4) + 5(6x + -8) = 0 Reorder the terms: -9(4 + 2x) + 5(6x + -8) = 0 (4 * -9 + 2x * -9) + 5(6x + -8) = 0 (-36 + -18x) + 5(6x + -8) = 0 Reorder the terms: -36 + -18x + 5(-8 + 6x) = 0 -36 + -18x + (-8 * 5 + 6x * 5) = 0 -36 + -18x + (-40 + 30x) = 0 Reorder the terms: -36 + -40 + -18x + 30x = 0 Combine like terms: -36 + -40 = -76 -76 + -18x + 30x = 0 Combine like terms: -18x + 30x = 12x -76 + 12x = 0 Solving -76 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '76' to each side of the equation. -76 + 76 + 12x = 0 + 76 Combine like terms: -76 + 76 = 0 0 + 12x = 0 + 76 12x = 0 + 76 Combine like terms: 0 + 76 = 76 12x = 76 Divide each side by '12'. x = 6.333333333 Simplifying x = 6.333333333
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