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Simplifying 5(x + -5) = 3(x + 4) + x Reorder the terms: 5(-5 + x) = 3(x + 4) + x (-5 * 5 + x * 5) = 3(x + 4) + x (-25 + 5x) = 3(x + 4) + x Reorder the terms: -25 + 5x = 3(4 + x) + x -25 + 5x = (4 * 3 + x * 3) + x -25 + 5x = (12 + 3x) + x Combine like terms: 3x + x = 4x -25 + 5x = 12 + 4x Solving -25 + 5x = 12 + 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 = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x -25 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 1x = 12 + 0 -25 + 1x = 12 Add '25' to each side of the equation. -25 + 25 + 1x = 12 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = 12 + 25 1x = 12 + 25 Combine like terms: 12 + 25 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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