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Simplifying 5(5x + -1) = -1x + 21 Reorder the terms: 5(-1 + 5x) = -1x + 21 (-1 * 5 + 5x * 5) = -1x + 21 (-5 + 25x) = -1x + 21 Reorder the terms: -5 + 25x = 21 + -1x Solving -5 + 25x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 25x + x = 21 + -1x + x Combine like terms: 25x + x = 26x -5 + 26x = 21 + -1x + x Combine like terms: -1x + x = 0 -5 + 26x = 21 + 0 -5 + 26x = 21 Add '5' to each side of the equation. -5 + 5 + 26x = 21 + 5 Combine like terms: -5 + 5 = 0 0 + 26x = 21 + 5 26x = 21 + 5 Combine like terms: 21 + 5 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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