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Simplifying 2x + (3 + -1x) + -1(2x + 5) = 5x + -20 Remove parenthesis around (3 + -1x) 2x + 3 + -1x + -1(2x + 5) = 5x + -20 Reorder the terms: 2x + 3 + -1x + -1(5 + 2x) = 5x + -20 2x + 3 + -1x + (5 * -1 + 2x * -1) = 5x + -20 2x + 3 + -1x + (-5 + -2x) = 5x + -20 Reorder the terms: 3 + -5 + 2x + -1x + -2x = 5x + -20 Combine like terms: 3 + -5 = -2 -2 + 2x + -1x + -2x = 5x + -20 Combine like terms: 2x + -1x = 1x -2 + 1x + -2x = 5x + -20 Combine like terms: 1x + -2x = -1x -2 + -1x = 5x + -20 Reorder the terms: -2 + -1x = -20 + 5x Solving -2 + -1x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + -1x + -5x = -20 + 5x + -5x Combine like terms: -1x + -5x = -6x -2 + -6x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -6x = -20 + 0 -2 + -6x = -20 Add '2' to each side of the equation. -2 + 2 + -6x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -20 + 2 -6x = -20 + 2 Combine like terms: -20 + 2 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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