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Simplifying 1 + -7(x + -1) = 7 + -6(2x + 1) Reorder the terms: 1 + -7(-1 + x) = 7 + -6(2x + 1) 1 + (-1 * -7 + x * -7) = 7 + -6(2x + 1) 1 + (7 + -7x) = 7 + -6(2x + 1) Combine like terms: 1 + 7 = 8 8 + -7x = 7 + -6(2x + 1) Reorder the terms: 8 + -7x = 7 + -6(1 + 2x) 8 + -7x = 7 + (1 * -6 + 2x * -6) 8 + -7x = 7 + (-6 + -12x) Combine like terms: 7 + -6 = 1 8 + -7x = 1 + -12x Solving 8 + -7x = 1 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + -7x + 12x = 1 + -12x + 12x Combine like terms: -7x + 12x = 5x 8 + 5x = 1 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 5x = 1 + 0 8 + 5x = 1 Add '-8' to each side of the equation. 8 + -8 + 5x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 1 + -8 5x = 1 + -8 Combine like terms: 1 + -8 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4
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