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Simplifying 5x + -1(5x + 5) = 5 + -2x Reorder the terms: 5x + -1(5 + 5x) = 5 + -2x 5x + (5 * -1 + 5x * -1) = 5 + -2x 5x + (-5 + -5x) = 5 + -2x Reorder the terms: -5 + 5x + -5x = 5 + -2x Combine like terms: 5x + -5x = 0 -5 + 0 = 5 + -2x -5 = 5 + -2x Solving -5 = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 2x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 2x = 5 + 0 -5 + 2x = 5 Add '5' to each side of the equation. -5 + 5 + 2x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 5 + 5 2x = 5 + 5 Combine like terms: 5 + 5 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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