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Simplifying -5(5x + -9) + 4(10x + -10) = 0 Reorder the terms: -5(-9 + 5x) + 4(10x + -10) = 0 (-9 * -5 + 5x * -5) + 4(10x + -10) = 0 (45 + -25x) + 4(10x + -10) = 0 Reorder the terms: 45 + -25x + 4(-10 + 10x) = 0 45 + -25x + (-10 * 4 + 10x * 4) = 0 45 + -25x + (-40 + 40x) = 0 Reorder the terms: 45 + -40 + -25x + 40x = 0 Combine like terms: 45 + -40 = 5 5 + -25x + 40x = 0 Combine like terms: -25x + 40x = 15x 5 + 15x = 0 Solving 5 + 15x = 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 + 15x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = 0 + -5 15x = 0 + -5 Combine like terms: 0 + -5 = -5 15x = -5 Divide each side by '15'. x = -0.3333333333 Simplifying x = -0.3333333333
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