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Simplifying 9(x + 4) = 1 + 2x Reorder the terms: 9(4 + x) = 1 + 2x (4 * 9 + x * 9) = 1 + 2x (36 + 9x) = 1 + 2x Solving 36 + 9x = 1 + 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. 36 + 9x + -2x = 1 + 2x + -2x Combine like terms: 9x + -2x = 7x 36 + 7x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 7x = 1 + 0 36 + 7x = 1 Add '-36' to each side of the equation. 36 + -36 + 7x = 1 + -36 Combine like terms: 36 + -36 = 0 0 + 7x = 1 + -36 7x = 1 + -36 Combine like terms: 1 + -36 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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