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Simplifying 10x + -61 = 47 + x Reorder the terms: -61 + 10x = 47 + x Solving -61 + 10x = 47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -61 + 10x + -1x = 47 + x + -1x Combine like terms: 10x + -1x = 9x -61 + 9x = 47 + x + -1x Combine like terms: x + -1x = 0 -61 + 9x = 47 + 0 -61 + 9x = 47 Add '61' to each side of the equation. -61 + 61 + 9x = 47 + 61 Combine like terms: -61 + 61 = 0 0 + 9x = 47 + 61 9x = 47 + 61 Combine like terms: 47 + 61 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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