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Simplifying 4(3x + 2(2x + 5)) = 32 Reorder the terms: 4(3x + 2(5 + 2x)) = 32 4(3x + (5 * 2 + 2x * 2)) = 32 4(3x + (10 + 4x)) = 32 Reorder the terms: 4(10 + 3x + 4x) = 32 Combine like terms: 3x + 4x = 7x 4(10 + 7x) = 32 (10 * 4 + 7x * 4) = 32 (40 + 28x) = 32 Solving 40 + 28x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 28x = 32 + -40 Combine like terms: 40 + -40 = 0 0 + 28x = 32 + -40 28x = 32 + -40 Combine like terms: 32 + -40 = -8 28x = -8 Divide each side by '28'. x = -0.2857142857 Simplifying x = -0.2857142857
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