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Simplifying 5x + -1(2x + 5) = x + (3x + -5) Reorder the terms: 5x + -1(5 + 2x) = x + (3x + -5) 5x + (5 * -1 + 2x * -1) = x + (3x + -5) 5x + (-5 + -2x) = x + (3x + -5) Reorder the terms: -5 + 5x + -2x = x + (3x + -5) Combine like terms: 5x + -2x = 3x -5 + 3x = x + (3x + -5) Reorder the terms: -5 + 3x = x + (-5 + 3x) Remove parenthesis around (-5 + 3x) -5 + 3x = x + -5 + 3x Reorder the terms: -5 + 3x = -5 + x + 3x Combine like terms: x + 3x = 4x -5 + 3x = -5 + 4x Add '5' to each side of the equation. -5 + 5 + 3x = -5 + 5 + 4x Combine like terms: -5 + 5 = 0 0 + 3x = -5 + 5 + 4x 3x = -5 + 5 + 4x Combine like terms: -5 + 5 = 0 3x = 0 + 4x 3x = 4x Solving 3x = 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. 3x + -4x = 4x + -4x Combine like terms: 3x + -4x = -1x -1x = 4x + -4x Combine like terms: 4x + -4x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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