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Simplifying 5(x + 1) + -1(-7x + -7) = x Reorder the terms: 5(1 + x) + -1(-7x + -7) = x (1 * 5 + x * 5) + -1(-7x + -7) = x (5 + 5x) + -1(-7x + -7) = x Reorder the terms: 5 + 5x + -1(-7 + -7x) = x 5 + 5x + (-7 * -1 + -7x * -1) = x 5 + 5x + (7 + 7x) = x Reorder the terms: 5 + 7 + 5x + 7x = x Combine like terms: 5 + 7 = 12 12 + 5x + 7x = x Combine like terms: 5x + 7x = 12x 12 + 12x = x Solving 12 + 12x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + 12x + -1x = x + -1x Combine like terms: 12x + -1x = 11x 12 + 11x = x + -1x Combine like terms: x + -1x = 0 12 + 11x = 0 Add '-12' to each side of the equation. 12 + -12 + 11x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 0 + -12 11x = 0 + -12 Combine like terms: 0 + -12 = -12 11x = -12 Divide each side by '11'. x = -1.090909091 Simplifying x = -1.090909091
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