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Simplifying 5X + 14 + -2X = 9 + -1(4X + -2) Reorder the terms: 14 + 5X + -2X = 9 + -1(4X + -2) Combine like terms: 5X + -2X = 3X 14 + 3X = 9 + -1(4X + -2) Reorder the terms: 14 + 3X = 9 + -1(-2 + 4X) 14 + 3X = 9 + (-2 * -1 + 4X * -1) 14 + 3X = 9 + (2 + -4X) Combine like terms: 9 + 2 = 11 14 + 3X = 11 + -4X Solving 14 + 3X = 11 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. 14 + 3X + 4X = 11 + -4X + 4X Combine like terms: 3X + 4X = 7X 14 + 7X = 11 + -4X + 4X Combine like terms: -4X + 4X = 0 14 + 7X = 11 + 0 14 + 7X = 11 Add '-14' to each side of the equation. 14 + -14 + 7X = 11 + -14 Combine like terms: 14 + -14 = 0 0 + 7X = 11 + -14 7X = 11 + -14 Combine like terms: 11 + -14 = -3 7X = -3 Divide each side by '7'. X = -0.4285714286 Simplifying X = -0.4285714286
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