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Simplifying 5x + 61 = 9x + 13 Reorder the terms: 61 + 5x = 9x + 13 Reorder the terms: 61 + 5x = 13 + 9x Solving 61 + 5x = 13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 61 + 5x + -9x = 13 + 9x + -9x Combine like terms: 5x + -9x = -4x 61 + -4x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 61 + -4x = 13 + 0 61 + -4x = 13 Add '-61' to each side of the equation. 61 + -61 + -4x = 13 + -61 Combine like terms: 61 + -61 = 0 0 + -4x = 13 + -61 -4x = 13 + -61 Combine like terms: 13 + -61 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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