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Simplifying 5(5x + -25) + 1(x + -5) = 14 Reorder the terms: 5(-25 + 5x) + 1(x + -5) = 14 (-25 * 5 + 5x * 5) + 1(x + -5) = 14 (-125 + 25x) + 1(x + -5) = 14 Reorder the terms: -125 + 25x + 1(-5 + x) = 14 -125 + 25x + (-5 * 1 + x * 1) = 14 -125 + 25x + (-5 + 1x) = 14 Reorder the terms: -125 + -5 + 25x + 1x = 14 Combine like terms: -125 + -5 = -130 -130 + 25x + 1x = 14 Combine like terms: 25x + 1x = 26x -130 + 26x = 14 Solving -130 + 26x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '130' to each side of the equation. -130 + 130 + 26x = 14 + 130 Combine like terms: -130 + 130 = 0 0 + 26x = 14 + 130 26x = 14 + 130 Combine like terms: 14 + 130 = 144 26x = 144 Divide each side by '26'. x = 5.538461538 Simplifying x = 5.538461538
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