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Simplifying 2(2x + 3) + 4(6x + 1) = 38 Reorder the terms: 2(3 + 2x) + 4(6x + 1) = 38 (3 * 2 + 2x * 2) + 4(6x + 1) = 38 (6 + 4x) + 4(6x + 1) = 38 Reorder the terms: 6 + 4x + 4(1 + 6x) = 38 6 + 4x + (1 * 4 + 6x * 4) = 38 6 + 4x + (4 + 24x) = 38 Reorder the terms: 6 + 4 + 4x + 24x = 38 Combine like terms: 6 + 4 = 10 10 + 4x + 24x = 38 Combine like terms: 4x + 24x = 28x 10 + 28x = 38 Solving 10 + 28x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 28x = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 28x = 38 + -10 28x = 38 + -10 Combine like terms: 38 + -10 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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