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Simplifying 12X + -6 + 2X = 7X + -4 + 9X + 14 Reorder the terms: -6 + 12X + 2X = 7X + -4 + 9X + 14 Combine like terms: 12X + 2X = 14X -6 + 14X = 7X + -4 + 9X + 14 Reorder the terms: -6 + 14X = -4 + 14 + 7X + 9X Combine like terms: -4 + 14 = 10 -6 + 14X = 10 + 7X + 9X Combine like terms: 7X + 9X = 16X -6 + 14X = 10 + 16X Solving -6 + 14X = 10 + 16X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-16X' to each side of the equation. -6 + 14X + -16X = 10 + 16X + -16X Combine like terms: 14X + -16X = -2X -6 + -2X = 10 + 16X + -16X Combine like terms: 16X + -16X = 0 -6 + -2X = 10 + 0 -6 + -2X = 10 Add '6' to each side of the equation. -6 + 6 + -2X = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -2X = 10 + 6 -2X = 10 + 6 Combine like terms: 10 + 6 = 16 -2X = 16 Divide each side by '-2'. X = -8 Simplifying X = -8
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