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Simplifying 5(9 + -7x) + -10(3x + 4) = 0 (9 * 5 + -7x * 5) + -10(3x + 4) = 0 (45 + -35x) + -10(3x + 4) = 0 Reorder the terms: 45 + -35x + -10(4 + 3x) = 0 45 + -35x + (4 * -10 + 3x * -10) = 0 45 + -35x + (-40 + -30x) = 0 Reorder the terms: 45 + -40 + -35x + -30x = 0 Combine like terms: 45 + -40 = 5 5 + -35x + -30x = 0 Combine like terms: -35x + -30x = -65x 5 + -65x = 0 Solving 5 + -65x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -65x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -65x = 0 + -5 -65x = 0 + -5 Combine like terms: 0 + -5 = -5 -65x = -5 Divide each side by '-65'. x = 0.07692307692 Simplifying x = 0.07692307692
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