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Simplifying -2x + -4 + (x + 1) = -5(-5 + -1x) + -4 Reorder the terms: -2x + -4 + (1 + x) = -5(-5 + -1x) + -4 Remove parenthesis around (1 + x) -2x + -4 + 1 + x = -5(-5 + -1x) + -4 Reorder the terms: -4 + 1 + -2x + x = -5(-5 + -1x) + -4 Combine like terms: -4 + 1 = -3 -3 + -2x + x = -5(-5 + -1x) + -4 Combine like terms: -2x + x = -1x -3 + -1x = -5(-5 + -1x) + -4 -3 + -1x = (-5 * -5 + -1x * -5) + -4 -3 + -1x = (25 + 5x) + -4 Reorder the terms: -3 + -1x = 25 + -4 + 5x Combine like terms: 25 + -4 = 21 -3 + -1x = 21 + 5x Solving -3 + -1x = 21 + 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. -3 + -1x + -5x = 21 + 5x + -5x Combine like terms: -1x + -5x = -6x -3 + -6x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -6x = 21 + 0 -3 + -6x = 21 Add '3' to each side of the equation. -3 + 3 + -6x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 21 + 3 -6x = 21 + 3 Combine like terms: 21 + 3 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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