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Simplifying 6X + 114 = 12X + -12 Reorder the terms: 114 + 6X = 12X + -12 Reorder the terms: 114 + 6X = -12 + 12X Solving 114 + 6X = -12 + 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. 114 + 6X + -12X = -12 + 12X + -12X Combine like terms: 6X + -12X = -6X 114 + -6X = -12 + 12X + -12X Combine like terms: 12X + -12X = 0 114 + -6X = -12 + 0 114 + -6X = -12 Add '-114' to each side of the equation. 114 + -114 + -6X = -12 + -114 Combine like terms: 114 + -114 = 0 0 + -6X = -12 + -114 -6X = -12 + -114 Combine like terms: -12 + -114 = -126 -6X = -126 Divide each side by '-6'. X = 21 Simplifying X = 21
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