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Simplifying 1 + -7(x + -1) = 5 + -6(6x + 1) Reorder the terms: 1 + -7(-1 + x) = 5 + -6(6x + 1) 1 + (-1 * -7 + x * -7) = 5 + -6(6x + 1) 1 + (7 + -7x) = 5 + -6(6x + 1) Combine like terms: 1 + 7 = 8 8 + -7x = 5 + -6(6x + 1) Reorder the terms: 8 + -7x = 5 + -6(1 + 6x) 8 + -7x = 5 + (1 * -6 + 6x * -6) 8 + -7x = 5 + (-6 + -36x) Combine like terms: 5 + -6 = -1 8 + -7x = -1 + -36x Solving 8 + -7x = -1 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 8 + -7x + 36x = -1 + -36x + 36x Combine like terms: -7x + 36x = 29x 8 + 29x = -1 + -36x + 36x Combine like terms: -36x + 36x = 0 8 + 29x = -1 + 0 8 + 29x = -1 Add '-8' to each side of the equation. 8 + -8 + 29x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 29x = -1 + -8 29x = -1 + -8 Combine like terms: -1 + -8 = -9 29x = -9 Divide each side by '29'. x = -0.3103448276 Simplifying x = -0.3103448276
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