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Simplifying 9(x + 4) = 45 + -5(x + 1) Reorder the terms: 9(4 + x) = 45 + -5(x + 1) (4 * 9 + x * 9) = 45 + -5(x + 1) (36 + 9x) = 45 + -5(x + 1) Reorder the terms: 36 + 9x = 45 + -5(1 + x) 36 + 9x = 45 + (1 * -5 + x * -5) 36 + 9x = 45 + (-5 + -5x) Combine like terms: 45 + -5 = 40 36 + 9x = 40 + -5x Solving 36 + 9x = 40 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 36 + 9x + 5x = 40 + -5x + 5x Combine like terms: 9x + 5x = 14x 36 + 14x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 36 + 14x = 40 + 0 36 + 14x = 40 Add '-36' to each side of the equation. 36 + -36 + 14x = 40 + -36 Combine like terms: 36 + -36 = 0 0 + 14x = 40 + -36 14x = 40 + -36 Combine like terms: 40 + -36 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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