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Simplifying 5(5x + -4) + 10(9x + 3) = 0 Reorder the terms: 5(-4 + 5x) + 10(9x + 3) = 0 (-4 * 5 + 5x * 5) + 10(9x + 3) = 0 (-20 + 25x) + 10(9x + 3) = 0 Reorder the terms: -20 + 25x + 10(3 + 9x) = 0 -20 + 25x + (3 * 10 + 9x * 10) = 0 -20 + 25x + (30 + 90x) = 0 Reorder the terms: -20 + 30 + 25x + 90x = 0 Combine like terms: -20 + 30 = 10 10 + 25x + 90x = 0 Combine like terms: 25x + 90x = 115x 10 + 115x = 0 Solving 10 + 115x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 115x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 115x = 0 + -10 115x = 0 + -10 Combine like terms: 0 + -10 = -10 115x = -10 Divide each side by '115'. x = -0.08695652174 Simplifying x = -0.08695652174
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