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Simplifying 5(x + -5) = 4x + 21 Reorder the terms: 5(-5 + x) = 4x + 21 (-5 * 5 + x * 5) = 4x + 21 (-25 + 5x) = 4x + 21 Reorder the terms: -25 + 5x = 21 + 4x Solving -25 + 5x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -25 + 5x + -4x = 21 + 4x + -4x Combine like terms: 5x + -4x = 1x -25 + 1x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 1x = 21 + 0 -25 + 1x = 21 Add '25' to each side of the equation. -25 + 25 + 1x = 21 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = 21 + 25 1x = 21 + 25 Combine like terms: 21 + 25 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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