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Simplifying 9(14 + 7x) = 9(4x + 5) (14 * 9 + 7x * 9) = 9(4x + 5) (126 + 63x) = 9(4x + 5) Reorder the terms: 126 + 63x = 9(5 + 4x) 126 + 63x = (5 * 9 + 4x * 9) 126 + 63x = (45 + 36x) Solving 126 + 63x = 45 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 126 + 63x + -36x = 45 + 36x + -36x Combine like terms: 63x + -36x = 27x 126 + 27x = 45 + 36x + -36x Combine like terms: 36x + -36x = 0 126 + 27x = 45 + 0 126 + 27x = 45 Add '-126' to each side of the equation. 126 + -126 + 27x = 45 + -126 Combine like terms: 126 + -126 = 0 0 + 27x = 45 + -126 27x = 45 + -126 Combine like terms: 45 + -126 = -81 27x = -81 Divide each side by '27'. x = -3 Simplifying x = -3
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