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Simplifying 5(x + -5) = 3(x + 1) Reorder the terms: 5(-5 + x) = 3(x + 1) (-5 * 5 + x * 5) = 3(x + 1) (-25 + 5x) = 3(x + 1) Reorder the terms: -25 + 5x = 3(1 + x) -25 + 5x = (1 * 3 + x * 3) -25 + 5x = (3 + 3x) Solving -25 + 5x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -25 + 5x + -3x = 3 + 3x + -3x Combine like terms: 5x + -3x = 2x -25 + 2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 2x = 3 + 0 -25 + 2x = 3 Add '25' to each side of the equation. -25 + 25 + 2x = 3 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = 3 + 25 2x = 3 + 25 Combine like terms: 3 + 25 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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