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Simplifying -1(5x + 1) = 7x + 7 Reorder the terms: -1(1 + 5x) = 7x + 7 (1 * -1 + 5x * -1) = 7x + 7 (-1 + -5x) = 7x + 7 Reorder the terms: -1 + -5x = 7 + 7x Solving -1 + -5x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + -5x + -7x = 7 + 7x + -7x Combine like terms: -5x + -7x = -12x -1 + -12x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -12x = 7 + 0 -1 + -12x = 7 Add '1' to each side of the equation. -1 + 1 + -12x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = 7 + 1 -12x = 7 + 1 Combine like terms: 7 + 1 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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