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Simplifying 2x + 14 = 5x + -52 Reorder the terms: 14 + 2x = 5x + -52 Reorder the terms: 14 + 2x = -52 + 5x Solving 14 + 2x = -52 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 2x + -5x = -52 + 5x + -5x Combine like terms: 2x + -5x = -3x 14 + -3x = -52 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -3x = -52 + 0 14 + -3x = -52 Add '-14' to each side of the equation. 14 + -14 + -3x = -52 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = -52 + -14 -3x = -52 + -14 Combine like terms: -52 + -14 = -66 -3x = -66 Divide each side by '-3'. x = 22 Simplifying x = 22
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