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Simplifying 8(2x + 1) = 3x + -8x Reorder the terms: 8(1 + 2x) = 3x + -8x (1 * 8 + 2x * 8) = 3x + -8x (8 + 16x) = 3x + -8x Combine like terms: 3x + -8x = -5x 8 + 16x = -5x Solving 8 + 16x = -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 + 16x + 5x = -5x + 5x Combine like terms: 16x + 5x = 21x 8 + 21x = -5x + 5x Combine like terms: -5x + 5x = 0 8 + 21x = 0 Add '-8' to each side of the equation. 8 + -8 + 21x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 21x = 0 + -8 21x = 0 + -8 Combine like terms: 0 + -8 = -8 21x = -8 Divide each side by '21'. x = -0.380952381 Simplifying x = -0.380952381
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