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Simplifying -5(10x + 4) + 7(2x + 10) = 0 Reorder the terms: -5(4 + 10x) + 7(2x + 10) = 0 (4 * -5 + 10x * -5) + 7(2x + 10) = 0 (-20 + -50x) + 7(2x + 10) = 0 Reorder the terms: -20 + -50x + 7(10 + 2x) = 0 -20 + -50x + (10 * 7 + 2x * 7) = 0 -20 + -50x + (70 + 14x) = 0 Reorder the terms: -20 + 70 + -50x + 14x = 0 Combine like terms: -20 + 70 = 50 50 + -50x + 14x = 0 Combine like terms: -50x + 14x = -36x 50 + -36x = 0 Solving 50 + -36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -36x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -36x = 0 + -50 -36x = 0 + -50 Combine like terms: 0 + -50 = -50 -36x = -50 Divide each side by '-36'. x = 1.388888889 Simplifying x = 1.388888889
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