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Simplifying 4(3x + 2) + -5(7x + 5) = 0 Reorder the terms: 4(2 + 3x) + -5(7x + 5) = 0 (2 * 4 + 3x * 4) + -5(7x + 5) = 0 (8 + 12x) + -5(7x + 5) = 0 Reorder the terms: 8 + 12x + -5(5 + 7x) = 0 8 + 12x + (5 * -5 + 7x * -5) = 0 8 + 12x + (-25 + -35x) = 0 Reorder the terms: 8 + -25 + 12x + -35x = 0 Combine like terms: 8 + -25 = -17 -17 + 12x + -35x = 0 Combine like terms: 12x + -35x = -23x -17 + -23x = 0 Solving -17 + -23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -23x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -23x = 0 + 17 -23x = 0 + 17 Combine like terms: 0 + 17 = 17 -23x = 17 Divide each side by '-23'. x = -0.7391304348 Simplifying x = -0.7391304348
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