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Simplifying 7(4x + 3) = 9(x + 4) + -20 Reorder the terms: 7(3 + 4x) = 9(x + 4) + -20 (3 * 7 + 4x * 7) = 9(x + 4) + -20 (21 + 28x) = 9(x + 4) + -20 Reorder the terms: 21 + 28x = 9(4 + x) + -20 21 + 28x = (4 * 9 + x * 9) + -20 21 + 28x = (36 + 9x) + -20 Reorder the terms: 21 + 28x = 36 + -20 + 9x Combine like terms: 36 + -20 = 16 21 + 28x = 16 + 9x Solving 21 + 28x = 16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + 28x + -9x = 16 + 9x + -9x Combine like terms: 28x + -9x = 19x 21 + 19x = 16 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + 19x = 16 + 0 21 + 19x = 16 Add '-21' to each side of the equation. 21 + -21 + 19x = 16 + -21 Combine like terms: 21 + -21 = 0 0 + 19x = 16 + -21 19x = 16 + -21 Combine like terms: 16 + -21 = -5 19x = -5 Divide each side by '19'. x = -0.2631578947 Simplifying x = -0.2631578947
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