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Simplifying 14(x + 2) + -2X = 3(4X + 4) + -14 Reorder the terms: 14(2 + x) + -2X = 3(4X + 4) + -14 (2 * 14 + x * 14) + -2X = 3(4X + 4) + -14 (28 + 14x) + -2X = 3(4X + 4) + -14 Reorder the terms: 28 + -2X + 14x = 3(4X + 4) + -14 Reorder the terms: 28 + -2X + 14x = 3(4 + 4X) + -14 28 + -2X + 14x = (4 * 3 + 4X * 3) + -14 28 + -2X + 14x = (12 + 12X) + -14 Reorder the terms: 28 + -2X + 14x = 12 + -14 + 12X Combine like terms: 12 + -14 = -2 28 + -2X + 14x = -2 + 12X Solving 28 + -2X + 14x = -2 + 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. 28 + -2X + -12X + 14x = -2 + 12X + -12X Combine like terms: -2X + -12X = -14X 28 + -14X + 14x = -2 + 12X + -12X Combine like terms: 12X + -12X = 0 28 + -14X + 14x = -2 + 0 28 + -14X + 14x = -2 Add '-28' to each side of the equation. 28 + -14X + -28 + 14x = -2 + -28 Reorder the terms: 28 + -28 + -14X + 14x = -2 + -28 Combine like terms: 28 + -28 = 0 0 + -14X + 14x = -2 + -28 -14X + 14x = -2 + -28 Combine like terms: -2 + -28 = -30 -14X + 14x = -30 Add '-14x' to each side of the equation. -14X + 14x + -14x = -30 + -14x Combine like terms: 14x + -14x = 0 -14X + 0 = -30 + -14x -14X = -30 + -14x Divide each side by '-14'. X = 2.142857143 + x Simplifying X = 2.142857143 + x
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