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Simplifying 8(x + 2) = 1 + 3x Reorder the terms: 8(2 + x) = 1 + 3x (2 * 8 + x * 8) = 1 + 3x (16 + 8x) = 1 + 3x Solving 16 + 8x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + 8x + -3x = 1 + 3x + -3x Combine like terms: 8x + -3x = 5x 16 + 5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + 5x = 1 + 0 16 + 5x = 1 Add '-16' to each side of the equation. 16 + -16 + 5x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 1 + -16 5x = 1 + -16 Combine like terms: 1 + -16 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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