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Simplifying 2x + 101 = 7x + -14 Reorder the terms: 101 + 2x = 7x + -14 Reorder the terms: 101 + 2x = -14 + 7x Solving 101 + 2x = -14 + 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. 101 + 2x + -7x = -14 + 7x + -7x Combine like terms: 2x + -7x = -5x 101 + -5x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 101 + -5x = -14 + 0 101 + -5x = -14 Add '-101' to each side of the equation. 101 + -101 + -5x = -14 + -101 Combine like terms: 101 + -101 = 0 0 + -5x = -14 + -101 -5x = -14 + -101 Combine like terms: -14 + -101 = -115 -5x = -115 Divide each side by '-5'. x = 23 Simplifying x = 23
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