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Simplifying 5(7x + -5) = 13 + -3x Reorder the terms: 5(-5 + 7x) = 13 + -3x (-5 * 5 + 7x * 5) = 13 + -3x (-25 + 35x) = 13 + -3x Solving -25 + 35x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -25 + 35x + 3x = 13 + -3x + 3x Combine like terms: 35x + 3x = 38x -25 + 38x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -25 + 38x = 13 + 0 -25 + 38x = 13 Add '25' to each side of the equation. -25 + 25 + 38x = 13 + 25 Combine like terms: -25 + 25 = 0 0 + 38x = 13 + 25 38x = 13 + 25 Combine like terms: 13 + 25 = 38 38x = 38 Divide each side by '38'. x = 1 Simplifying x = 1
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