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Simplifying 5(3x + -5) + 4(6x + 5) = 0 Reorder the terms: 5(-5 + 3x) + 4(6x + 5) = 0 (-5 * 5 + 3x * 5) + 4(6x + 5) = 0 (-25 + 15x) + 4(6x + 5) = 0 Reorder the terms: -25 + 15x + 4(5 + 6x) = 0 -25 + 15x + (5 * 4 + 6x * 4) = 0 -25 + 15x + (20 + 24x) = 0 Reorder the terms: -25 + 20 + 15x + 24x = 0 Combine like terms: -25 + 20 = -5 -5 + 15x + 24x = 0 Combine like terms: 15x + 24x = 39x -5 + 39x = 0 Solving -5 + 39x = 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 + 39x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 39x = 0 + 5 39x = 0 + 5 Combine like terms: 0 + 5 = 5 39x = 5 Divide each side by '39'. x = 0.1282051282 Simplifying x = 0.1282051282
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