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Simplifying 2x + 8 + 3X + 14 = 7X + -2 Reorder the terms: 8 + 14 + 3X + 2x = 7X + -2 Combine like terms: 8 + 14 = 22 22 + 3X + 2x = 7X + -2 Reorder the terms: 22 + 3X + 2x = -2 + 7X Solving 22 + 3X + 2x = -2 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. 22 + 3X + -7X + 2x = -2 + 7X + -7X Combine like terms: 3X + -7X = -4X 22 + -4X + 2x = -2 + 7X + -7X Combine like terms: 7X + -7X = 0 22 + -4X + 2x = -2 + 0 22 + -4X + 2x = -2 Add '-22' to each side of the equation. 22 + -4X + -22 + 2x = -2 + -22 Reorder the terms: 22 + -22 + -4X + 2x = -2 + -22 Combine like terms: 22 + -22 = 0 0 + -4X + 2x = -2 + -22 -4X + 2x = -2 + -22 Combine like terms: -2 + -22 = -24 -4X + 2x = -24 Add '-2x' to each side of the equation. -4X + 2x + -2x = -24 + -2x Combine like terms: 2x + -2x = 0 -4X + 0 = -24 + -2x -4X = -24 + -2x Divide each side by '-4'. X = 6 + 0.5x Simplifying X = 6 + 0.5x
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