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Simplifying -8x + 4(1 + 5x) = 6x + -14 -8x + (1 * 4 + 5x * 4) = 6x + -14 -8x + (4 + 20x) = 6x + -14 Reorder the terms: 4 + -8x + 20x = 6x + -14 Combine like terms: -8x + 20x = 12x 4 + 12x = 6x + -14 Reorder the terms: 4 + 12x = -14 + 6x Solving 4 + 12x = -14 + 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. 4 + 12x + -6x = -14 + 6x + -6x Combine like terms: 12x + -6x = 6x 4 + 6x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 6x = -14 + 0 4 + 6x = -14 Add '-4' to each side of the equation. 4 + -4 + 6x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -14 + -4 6x = -14 + -4 Combine like terms: -14 + -4 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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