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Simplifying 5(9x + -5) = -7x + 10 Reorder the terms: 5(-5 + 9x) = -7x + 10 (-5 * 5 + 9x * 5) = -7x + 10 (-25 + 45x) = -7x + 10 Reorder the terms: -25 + 45x = 10 + -7x Solving -25 + 45x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -25 + 45x + 7x = 10 + -7x + 7x Combine like terms: 45x + 7x = 52x -25 + 52x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 -25 + 52x = 10 + 0 -25 + 52x = 10 Add '25' to each side of the equation. -25 + 25 + 52x = 10 + 25 Combine like terms: -25 + 25 = 0 0 + 52x = 10 + 25 52x = 10 + 25 Combine like terms: 10 + 25 = 35 52x = 35 Divide each side by '52'. x = 0.6730769231 Simplifying x = 0.6730769231
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