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Simplifying X + 1 + -2(-6x + -3) = 7(x + -1) Reorder the terms: X + 1 + -2(-3 + -6x) = 7(x + -1) X + 1 + (-3 * -2 + -6x * -2) = 7(x + -1) X + 1 + (6 + 12x) = 7(x + -1) Reorder the terms: 1 + 6 + X + 12x = 7(x + -1) Combine like terms: 1 + 6 = 7 7 + X + 12x = 7(x + -1) Reorder the terms: 7 + X + 12x = 7(-1 + x) 7 + X + 12x = (-1 * 7 + x * 7) 7 + X + 12x = (-7 + 7x) Solving 7 + X + 12x = -7 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + X + -7 + 12x = -7 + -7 + 7x Reorder the terms: 7 + -7 + X + 12x = -7 + -7 + 7x Combine like terms: 7 + -7 = 0 0 + X + 12x = -7 + -7 + 7x X + 12x = -7 + -7 + 7x Combine like terms: -7 + -7 = -14 X + 12x = -14 + 7x Add '-12x' to each side of the equation. X + 12x + -12x = -14 + 7x + -12x Combine like terms: 12x + -12x = 0 X + 0 = -14 + 7x + -12x X = -14 + 7x + -12x Combine like terms: 7x + -12x = -5x X = -14 + -5x Simplifying X = -14 + -5x
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