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Simplifying 2(X + 37) + -12 = 3X + 6 Reorder the terms: 2(37 + X) + -12 = 3X + 6 (37 * 2 + X * 2) + -12 = 3X + 6 (74 + 2X) + -12 = 3X + 6 Reorder the terms: 74 + -12 + 2X = 3X + 6 Combine like terms: 74 + -12 = 62 62 + 2X = 3X + 6 Reorder the terms: 62 + 2X = 6 + 3X Solving 62 + 2X = 6 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 62 + 2X + -3X = 6 + 3X + -3X Combine like terms: 2X + -3X = -1X 62 + -1X = 6 + 3X + -3X Combine like terms: 3X + -3X = 0 62 + -1X = 6 + 0 62 + -1X = 6 Add '-62' to each side of the equation. 62 + -62 + -1X = 6 + -62 Combine like terms: 62 + -62 = 0 0 + -1X = 6 + -62 -1X = 6 + -62 Combine like terms: 6 + -62 = -56 -1X = -56 Divide each side by '-1'. X = 56 Simplifying X = 56
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