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Simplifying (X + -7) * 2 + -12(x + -7) + 32 = 0 Reorder the terms: (-7 + X) * 2 + -12(x + -7) + 32 = 0 Reorder the terms for easier multiplication: 2(-7 + X) + -12(x + -7) + 32 = 0 (-7 * 2 + X * 2) + -12(x + -7) + 32 = 0 (-14 + 2X) + -12(x + -7) + 32 = 0 Reorder the terms: -14 + 2X + -12(-7 + x) + 32 = 0 -14 + 2X + (-7 * -12 + x * -12) + 32 = 0 -14 + 2X + (84 + -12x) + 32 = 0 Reorder the terms: -14 + 84 + 32 + 2X + -12x = 0 Combine like terms: -14 + 84 = 70 70 + 32 + 2X + -12x = 0 Combine like terms: 70 + 32 = 102 102 + 2X + -12x = 0 Solving 102 + 2X + -12x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + 2X + -102 + -12x = 0 + -102 Reorder the terms: 102 + -102 + 2X + -12x = 0 + -102 Combine like terms: 102 + -102 = 0 0 + 2X + -12x = 0 + -102 2X + -12x = 0 + -102 Combine like terms: 0 + -102 = -102 2X + -12x = -102 Add '12x' to each side of the equation. 2X + -12x + 12x = -102 + 12x Combine like terms: -12x + 12x = 0 2X + 0 = -102 + 12x 2X = -102 + 12x Divide each side by '2'. X = -51 + 6x Simplifying X = -51 + 6x
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