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Simplifying 9(4 + x) = 5(7 + x) (4 * 9 + x * 9) = 5(7 + x) (36 + 9x) = 5(7 + x) 36 + 9x = (7 * 5 + x * 5) 36 + 9x = (35 + 5x) Solving 36 + 9x = 35 + 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 = 35 + 5x + -5x Combine like terms: 9x + -5x = 4x 36 + 4x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 4x = 35 + 0 36 + 4x = 35 Add '-36' to each side of the equation. 36 + -36 + 4x = 35 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 35 + -36 4x = 35 + -36 Combine like terms: 35 + -36 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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