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Simplifying 2x + 101 = 5x + 65 Reorder the terms: 101 + 2x = 5x + 65 Reorder the terms: 101 + 2x = 65 + 5x Solving 101 + 2x = 65 + 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. 101 + 2x + -5x = 65 + 5x + -5x Combine like terms: 2x + -5x = -3x 101 + -3x = 65 + 5x + -5x Combine like terms: 5x + -5x = 0 101 + -3x = 65 + 0 101 + -3x = 65 Add '-101' to each side of the equation. 101 + -101 + -3x = 65 + -101 Combine like terms: 101 + -101 = 0 0 + -3x = 65 + -101 -3x = 65 + -101 Combine like terms: 65 + -101 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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