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Simplifying 7X + 10 + -9X = 16 + -14X + 12 + -6 Reorder the terms: 10 + 7X + -9X = 16 + -14X + 12 + -6 Combine like terms: 7X + -9X = -2X 10 + -2X = 16 + -14X + 12 + -6 Reorder the terms: 10 + -2X = 16 + 12 + -6 + -14X Combine like terms: 16 + 12 = 28 10 + -2X = 28 + -6 + -14X Combine like terms: 28 + -6 = 22 10 + -2X = 22 + -14X Solving 10 + -2X = 22 + -14X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '14X' to each side of the equation. 10 + -2X + 14X = 22 + -14X + 14X Combine like terms: -2X + 14X = 12X 10 + 12X = 22 + -14X + 14X Combine like terms: -14X + 14X = 0 10 + 12X = 22 + 0 10 + 12X = 22 Add '-10' to each side of the equation. 10 + -10 + 12X = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 12X = 22 + -10 12X = 22 + -10 Combine like terms: 22 + -10 = 12 12X = 12 Divide each side by '12'. X = 1 Simplifying X = 1
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