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Simplifying -9(x + -9) = -4x + 46 Reorder the terms: -9(-9 + x) = -4x + 46 (-9 * -9 + x * -9) = -4x + 46 (81 + -9x) = -4x + 46 Reorder the terms: 81 + -9x = 46 + -4x Solving 81 + -9x = 46 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 81 + -9x + 4x = 46 + -4x + 4x Combine like terms: -9x + 4x = -5x 81 + -5x = 46 + -4x + 4x Combine like terms: -4x + 4x = 0 81 + -5x = 46 + 0 81 + -5x = 46 Add '-81' to each side of the equation. 81 + -81 + -5x = 46 + -81 Combine like terms: 81 + -81 = 0 0 + -5x = 46 + -81 -5x = 46 + -81 Combine like terms: 46 + -81 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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