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Simplifying 5(8 + 9x) = 2(x + -23) (8 * 5 + 9x * 5) = 2(x + -23) (40 + 45x) = 2(x + -23) Reorder the terms: 40 + 45x = 2(-23 + x) 40 + 45x = (-23 * 2 + x * 2) 40 + 45x = (-46 + 2x) Solving 40 + 45x = -46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + 45x + -2x = -46 + 2x + -2x Combine like terms: 45x + -2x = 43x 40 + 43x = -46 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 43x = -46 + 0 40 + 43x = -46 Add '-40' to each side of the equation. 40 + -40 + 43x = -46 + -40 Combine like terms: 40 + -40 = 0 0 + 43x = -46 + -40 43x = -46 + -40 Combine like terms: -46 + -40 = -86 43x = -86 Divide each side by '43'. x = -2 Simplifying x = -2
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