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Simplifying -1(5 + 5x) = -1(3x + 1) (5 * -1 + 5x * -1) = -1(3x + 1) (-5 + -5x) = -1(3x + 1) Reorder the terms: -5 + -5x = -1(1 + 3x) -5 + -5x = (1 * -1 + 3x * -1) -5 + -5x = (-1 + -3x) Solving -5 + -5x = -1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + -5x + 3x = -1 + -3x + 3x Combine like terms: -5x + 3x = -2x -5 + -2x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + -2x = -1 + 0 -5 + -2x = -1 Add '5' to each side of the equation. -5 + 5 + -2x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -1 + 5 -2x = -1 + 5 Combine like terms: -1 + 5 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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