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Simplifying 8(1 + x) = -6x + 4(3x + 4) (1 * 8 + x * 8) = -6x + 4(3x + 4) (8 + 8x) = -6x + 4(3x + 4) Reorder the terms: 8 + 8x = -6x + 4(4 + 3x) 8 + 8x = -6x + (4 * 4 + 3x * 4) 8 + 8x = -6x + (16 + 12x) Reorder the terms: 8 + 8x = 16 + -6x + 12x Combine like terms: -6x + 12x = 6x 8 + 8x = 16 + 6x Solving 8 + 8x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 8x + -6x = 16 + 6x + -6x Combine like terms: 8x + -6x = 2x 8 + 2x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 2x = 16 + 0 8 + 2x = 16 Add '-8' to each side of the equation. 8 + -8 + 2x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 16 + -8 2x = 16 + -8 Combine like terms: 16 + -8 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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