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Simplifying -9(-5x + -9) = -9x + 3(x + 10) Reorder the terms: -9(-9 + -5x) = -9x + 3(x + 10) (-9 * -9 + -5x * -9) = -9x + 3(x + 10) (81 + 45x) = -9x + 3(x + 10) Reorder the terms: 81 + 45x = -9x + 3(10 + x) 81 + 45x = -9x + (10 * 3 + x * 3) 81 + 45x = -9x + (30 + 3x) Reorder the terms: 81 + 45x = 30 + -9x + 3x Combine like terms: -9x + 3x = -6x 81 + 45x = 30 + -6x Solving 81 + 45x = 30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 81 + 45x + 6x = 30 + -6x + 6x Combine like terms: 45x + 6x = 51x 81 + 51x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 81 + 51x = 30 + 0 81 + 51x = 30 Add '-81' to each side of the equation. 81 + -81 + 51x = 30 + -81 Combine like terms: 81 + -81 = 0 0 + 51x = 30 + -81 51x = 30 + -81 Combine like terms: 30 + -81 = -51 51x = -51 Divide each side by '51'. x = -1 Simplifying x = -1
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