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Simplifying 2 + 8(8 + 4x) = 38 + 4x 2 + (8 * 8 + 4x * 8) = 38 + 4x 2 + (64 + 32x) = 38 + 4x Combine like terms: 2 + 64 = 66 66 + 32x = 38 + 4x Solving 66 + 32x = 38 + 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. 66 + 32x + -4x = 38 + 4x + -4x Combine like terms: 32x + -4x = 28x 66 + 28x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 66 + 28x = 38 + 0 66 + 28x = 38 Add '-66' to each side of the equation. 66 + -66 + 28x = 38 + -66 Combine like terms: 66 + -66 = 0 0 + 28x = 38 + -66 28x = 38 + -66 Combine like terms: 38 + -66 = -28 28x = -28 Divide each side by '28'. x = -1 Simplifying x = -1
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