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Simplifying 5(x + -5) = x + 7 Reorder the terms: 5(-5 + x) = x + 7 (-5 * 5 + x * 5) = x + 7 (-25 + 5x) = x + 7 Reorder the terms: -25 + 5x = 7 + x Solving -25 + 5x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -25 + 5x + -1x = 7 + x + -1x Combine like terms: 5x + -1x = 4x -25 + 4x = 7 + x + -1x Combine like terms: x + -1x = 0 -25 + 4x = 7 + 0 -25 + 4x = 7 Add '25' to each side of the equation. -25 + 25 + 4x = 7 + 25 Combine like terms: -25 + 25 = 0 0 + 4x = 7 + 25 4x = 7 + 25 Combine like terms: 7 + 25 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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