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Simplifying 3X + 1 + -7X = 12X + -5 Reorder the terms: 1 + 3X + -7X = 12X + -5 Combine like terms: 3X + -7X = -4X 1 + -4X = 12X + -5 Reorder the terms: 1 + -4X = -5 + 12X Solving 1 + -4X = -5 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. 1 + -4X + -12X = -5 + 12X + -12X Combine like terms: -4X + -12X = -16X 1 + -16X = -5 + 12X + -12X Combine like terms: 12X + -12X = 0 1 + -16X = -5 + 0 1 + -16X = -5 Add '-1' to each side of the equation. 1 + -1 + -16X = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -16X = -5 + -1 -16X = -5 + -1 Combine like terms: -5 + -1 = -6 -16X = -6 Divide each side by '-16'. X = 0.375 Simplifying X = 0.375
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