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Simplifying X + -6(x + -5) + 1 = -1 + 2(x + 7) Reorder the terms: X + -6(-5 + x) + 1 = -1 + 2(x + 7) X + (-5 * -6 + x * -6) + 1 = -1 + 2(x + 7) X + (30 + -6x) + 1 = -1 + 2(x + 7) Reorder the terms: 30 + 1 + X + -6x = -1 + 2(x + 7) Combine like terms: 30 + 1 = 31 31 + X + -6x = -1 + 2(x + 7) Reorder the terms: 31 + X + -6x = -1 + 2(7 + x) 31 + X + -6x = -1 + (7 * 2 + x * 2) 31 + X + -6x = -1 + (14 + 2x) Combine like terms: -1 + 14 = 13 31 + X + -6x = 13 + 2x Solving 31 + X + -6x = 13 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + X + -31 + -6x = 13 + -31 + 2x Reorder the terms: 31 + -31 + X + -6x = 13 + -31 + 2x Combine like terms: 31 + -31 = 0 0 + X + -6x = 13 + -31 + 2x X + -6x = 13 + -31 + 2x Combine like terms: 13 + -31 = -18 X + -6x = -18 + 2x Add '6x' to each side of the equation. X + -6x + 6x = -18 + 2x + 6x Combine like terms: -6x + 6x = 0 X + 0 = -18 + 2x + 6x X = -18 + 2x + 6x Combine like terms: 2x + 6x = 8x X = -18 + 8x Simplifying X = -18 + 8x
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