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Simplifying 7x + 61 = 9x + 47 Reorder the terms: 61 + 7x = 9x + 47 Reorder the terms: 61 + 7x = 47 + 9x Solving 61 + 7x = 47 + 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 + 7x + -9x = 47 + 9x + -9x Combine like terms: 7x + -9x = -2x 61 + -2x = 47 + 9x + -9x Combine like terms: 9x + -9x = 0 61 + -2x = 47 + 0 61 + -2x = 47 Add '-61' to each side of the equation. 61 + -61 + -2x = 47 + -61 Combine like terms: 61 + -61 = 0 0 + -2x = 47 + -61 -2x = 47 + -61 Combine like terms: 47 + -61 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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