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Simplifying 8(4x + 1) = 3x + -8x Reorder the terms: 8(1 + 4x) = 3x + -8x (1 * 8 + 4x * 8) = 3x + -8x (8 + 32x) = 3x + -8x Combine like terms: 3x + -8x = -5x 8 + 32x = -5x Solving 8 + 32x = -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. 8 + 32x + 5x = -5x + 5x Combine like terms: 32x + 5x = 37x 8 + 37x = -5x + 5x Combine like terms: -5x + 5x = 0 8 + 37x = 0 Add '-8' to each side of the equation. 8 + -8 + 37x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 37x = 0 + -8 37x = 0 + -8 Combine like terms: 0 + -8 = -8 37x = -8 Divide each side by '37'. x = -0.2162162162 Simplifying x = -0.2162162162
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