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Simplifying 81 = 7x + 6(-1x + 12) Reorder the terms: 81 = 7x + 6(12 + -1x) 81 = 7x + (12 * 6 + -1x * 6) 81 = 7x + (72 + -6x) Reorder the terms: 81 = 72 + 7x + -6x Combine like terms: 7x + -6x = 1x 81 = 72 + 1x Solving 81 = 72 + 1x 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. 81 + -1x = 72 + 1x + -1x Combine like terms: 1x + -1x = 0 81 + -1x = 72 + 0 81 + -1x = 72 Add '-81' to each side of the equation. 81 + -81 + -1x = 72 + -81 Combine like terms: 81 + -81 = 0 0 + -1x = 72 + -81 -1x = 72 + -81 Combine like terms: 72 + -81 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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