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Simplifying (9 + -1x)(4 + x) = 45 + -1x * x Multiply (9 + -1x) * (4 + x) (9(4 + x) + -1x * (4 + x)) = 45 + -1x * x ((4 * 9 + x * 9) + -1x * (4 + x)) = 45 + -1x * x ((36 + 9x) + -1x * (4 + x)) = 45 + -1x * x (36 + 9x + (4 * -1x + x * -1x)) = 45 + -1x * x (36 + 9x + (-4x + -1x2)) = 45 + -1x * x Combine like terms: 9x + -4x = 5x (36 + 5x + -1x2) = 45 + -1x * x Multiply x * x 36 + 5x + -1x2 = 45 + -1x2 Add 'x2' to each side of the equation. 36 + 5x + -1x2 + x2 = 45 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 36 + 5x + 0 = 45 + -1x2 + x2 36 + 5x = 45 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 36 + 5x = 45 + 0 36 + 5x = 45 Solving 36 + 5x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 5x = 45 + -36 Combine like terms: 36 + -36 = 0 0 + 5x = 45 + -36 5x = 45 + -36 Combine like terms: 45 + -36 = 9 5x = 9 Divide each side by '5'. x = 1.8 Simplifying x = 1.8
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