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Simplifying -2x + 61 = 3x + 26 Reorder the terms: 61 + -2x = 3x + 26 Reorder the terms: 61 + -2x = 26 + 3x Solving 61 + -2x = 26 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 61 + -2x + -3x = 26 + 3x + -3x Combine like terms: -2x + -3x = -5x 61 + -5x = 26 + 3x + -3x Combine like terms: 3x + -3x = 0 61 + -5x = 26 + 0 61 + -5x = 26 Add '-61' to each side of the equation. 61 + -61 + -5x = 26 + -61 Combine like terms: 61 + -61 = 0 0 + -5x = 26 + -61 -5x = 26 + -61 Combine like terms: 26 + -61 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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