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Simplifying 9(5x + 4) = 7 + -4(x + 2) Reorder the terms: 9(4 + 5x) = 7 + -4(x + 2) (4 * 9 + 5x * 9) = 7 + -4(x + 2) (36 + 45x) = 7 + -4(x + 2) Reorder the terms: 36 + 45x = 7 + -4(2 + x) 36 + 45x = 7 + (2 * -4 + x * -4) 36 + 45x = 7 + (-8 + -4x) Combine like terms: 7 + -8 = -1 36 + 45x = -1 + -4x Solving 36 + 45x = -1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 36 + 45x + 4x = -1 + -4x + 4x Combine like terms: 45x + 4x = 49x 36 + 49x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 36 + 49x = -1 + 0 36 + 49x = -1 Add '-36' to each side of the equation. 36 + -36 + 49x = -1 + -36 Combine like terms: 36 + -36 = 0 0 + 49x = -1 + -36 49x = -1 + -36 Combine like terms: -1 + -36 = -37 49x = -37 Divide each side by '49'. x = -0.7551020408 Simplifying x = -0.7551020408
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