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Simplifying 5x + -9x + 61 = 5x + 34 Reorder the terms: 61 + 5x + -9x = 5x + 34 Combine like terms: 5x + -9x = -4x 61 + -4x = 5x + 34 Reorder the terms: 61 + -4x = 34 + 5x Solving 61 + -4x = 34 + 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 + -4x + -5x = 34 + 5x + -5x Combine like terms: -4x + -5x = -9x 61 + -9x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 61 + -9x = 34 + 0 61 + -9x = 34 Add '-61' to each side of the equation. 61 + -61 + -9x = 34 + -61 Combine like terms: 61 + -61 = 0 0 + -9x = 34 + -61 -9x = 34 + -61 Combine like terms: 34 + -61 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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