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Simplifying 3(X + 1) + -1X = 12 + -1(6X + -7) Reorder the terms: 3(1 + X) + -1X = 12 + -1(6X + -7) (1 * 3 + X * 3) + -1X = 12 + -1(6X + -7) (3 + 3X) + -1X = 12 + -1(6X + -7) Combine like terms: 3X + -1X = 2X 3 + 2X = 12 + -1(6X + -7) Reorder the terms: 3 + 2X = 12 + -1(-7 + 6X) 3 + 2X = 12 + (-7 * -1 + 6X * -1) 3 + 2X = 12 + (7 + -6X) Combine like terms: 12 + 7 = 19 3 + 2X = 19 + -6X Solving 3 + 2X = 19 + -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. 3 + 2X + 6X = 19 + -6X + 6X Combine like terms: 2X + 6X = 8X 3 + 8X = 19 + -6X + 6X Combine like terms: -6X + 6X = 0 3 + 8X = 19 + 0 3 + 8X = 19 Add '-3' to each side of the equation. 3 + -3 + 8X = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 8X = 19 + -3 8X = 19 + -3 Combine like terms: 19 + -3 = 16 8X = 16 Divide each side by '8'. X = 2 Simplifying X = 2
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