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Simplifying 10x + 45 = x + 81 Reorder the terms: 45 + 10x = x + 81 Reorder the terms: 45 + 10x = 81 + x Solving 45 + 10x = 81 + 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. 45 + 10x + -1x = 81 + x + -1x Combine like terms: 10x + -1x = 9x 45 + 9x = 81 + x + -1x Combine like terms: x + -1x = 0 45 + 9x = 81 + 0 45 + 9x = 81 Add '-45' to each side of the equation. 45 + -45 + 9x = 81 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = 81 + -45 9x = 81 + -45 Combine like terms: 81 + -45 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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