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Simplifying -1(x + 1) = 4x + 49 Reorder the terms: -1(1 + x) = 4x + 49 (1 * -1 + x * -1) = 4x + 49 (-1 + -1x) = 4x + 49 Reorder the terms: -1 + -1x = 49 + 4x Solving -1 + -1x = 49 + 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. -1 + -1x + -4x = 49 + 4x + -4x Combine like terms: -1x + -4x = -5x -1 + -5x = 49 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -5x = 49 + 0 -1 + -5x = 49 Add '1' to each side of the equation. -1 + 1 + -5x = 49 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 49 + 1 -5x = 49 + 1 Combine like terms: 49 + 1 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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