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Simplifying 8.2(x + 4) = 5x + 1 Reorder the terms: 8.2(4 + x) = 5x + 1 (4 * 8.2 + x * 8.2) = 5x + 1 (32.8 + 8.2x) = 5x + 1 Reorder the terms: 32.8 + 8.2x = 1 + 5x Solving 32.8 + 8.2x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32.8 + 8.2x + -5x = 1 + 5x + -5x Combine like terms: 8.2x + -5x = 3.2x 32.8 + 3.2x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 32.8 + 3.2x = 1 + 0 32.8 + 3.2x = 1 Add '-32.8' to each side of the equation. 32.8 + -32.8 + 3.2x = 1 + -32.8 Combine like terms: 32.8 + -32.8 = 0.0 0.0 + 3.2x = 1 + -32.8 3.2x = 1 + -32.8 Combine like terms: 1 + -32.8 = -31.8 3.2x = -31.8 Divide each side by '3.2'. x = -9.9375 Simplifying x = -9.9375
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