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Simplifying 2x + 61 = 5x + 10 Reorder the terms: 61 + 2x = 5x + 10 Reorder the terms: 61 + 2x = 10 + 5x Solving 61 + 2x = 10 + 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. 61 + 2x + -5x = 10 + 5x + -5x Combine like terms: 2x + -5x = -3x 61 + -3x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 61 + -3x = 10 + 0 61 + -3x = 10 Add '-61' to each side of the equation. 61 + -61 + -3x = 10 + -61 Combine like terms: 61 + -61 = 0 0 + -3x = 10 + -61 -3x = 10 + -61 Combine like terms: 10 + -61 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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