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Simplifying x + 1 + -3(-7x + -1) = 6(x + -1) Reorder the terms: x + 1 + -3(-1 + -7x) = 6(x + -1) x + 1 + (-1 * -3 + -7x * -3) = 6(x + -1) x + 1 + (3 + 21x) = 6(x + -1) Reorder the terms: 1 + 3 + x + 21x = 6(x + -1) Combine like terms: 1 + 3 = 4 4 + x + 21x = 6(x + -1) Combine like terms: x + 21x = 22x 4 + 22x = 6(x + -1) Reorder the terms: 4 + 22x = 6(-1 + x) 4 + 22x = (-1 * 6 + x * 6) 4 + 22x = (-6 + 6x) Solving 4 + 22x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 22x + -6x = -6 + 6x + -6x Combine like terms: 22x + -6x = 16x 4 + 16x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 16x = -6 + 0 4 + 16x = -6 Add '-4' to each side of the equation. 4 + -4 + 16x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = -6 + -4 16x = -6 + -4 Combine like terms: -6 + -4 = -10 16x = -10 Divide each side by '16'. x = -0.625 Simplifying x = -0.625
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