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Simplifying 81 = 7(-2 + 5x) + -10 81 = (-2 * 7 + 5x * 7) + -10 81 = (-14 + 35x) + -10 Reorder the terms: 81 = -14 + -10 + 35x Combine like terms: -14 + -10 = -24 81 = -24 + 35x Solving 81 = -24 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 81 + -35x = -24 + 35x + -35x Combine like terms: 35x + -35x = 0 81 + -35x = -24 + 0 81 + -35x = -24 Add '-81' to each side of the equation. 81 + -81 + -35x = -24 + -81 Combine like terms: 81 + -81 = 0 0 + -35x = -24 + -81 -35x = -24 + -81 Combine like terms: -24 + -81 = -105 -35x = -105 Divide each side by '-35'. x = 3 Simplifying x = 3
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