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Simplifying 22(5 + -9x) = 2 + -3(x + -2) (5 * 22 + -9x * 22) = 2 + -3(x + -2) (110 + -198x) = 2 + -3(x + -2) Reorder the terms: 110 + -198x = 2 + -3(-2 + x) 110 + -198x = 2 + (-2 * -3 + x * -3) 110 + -198x = 2 + (6 + -3x) Combine like terms: 2 + 6 = 8 110 + -198x = 8 + -3x Solving 110 + -198x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 110 + -198x + 3x = 8 + -3x + 3x Combine like terms: -198x + 3x = -195x 110 + -195x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 110 + -195x = 8 + 0 110 + -195x = 8 Add '-110' to each side of the equation. 110 + -110 + -195x = 8 + -110 Combine like terms: 110 + -110 = 0 0 + -195x = 8 + -110 -195x = 8 + -110 Combine like terms: 8 + -110 = -102 -195x = -102 Divide each side by '-195'. x = 0.5230769231 Simplifying x = 0.5230769231
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