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Simplifying -61 + 3x = -5x + 59 Reorder the terms: -61 + 3x = 59 + -5x Solving -61 + 3x = 59 + -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 + 3x + 5x = 59 + -5x + 5x Combine like terms: 3x + 5x = 8x -61 + 8x = 59 + -5x + 5x Combine like terms: -5x + 5x = 0 -61 + 8x = 59 + 0 -61 + 8x = 59 Add '61' to each side of the equation. -61 + 61 + 8x = 59 + 61 Combine like terms: -61 + 61 = 0 0 + 8x = 59 + 61 8x = 59 + 61 Combine like terms: 59 + 61 = 120 8x = 120 Divide each side by '8'. x = 15 Simplifying x = 15
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