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Simplifying -8x + 4(1 + 5x) = -2(x + 5) -8x + (1 * 4 + 5x * 4) = -2(x + 5) -8x + (4 + 20x) = -2(x + 5) Reorder the terms: 4 + -8x + 20x = -2(x + 5) Combine like terms: -8x + 20x = 12x 4 + 12x = -2(x + 5) Reorder the terms: 4 + 12x = -2(5 + x) 4 + 12x = (5 * -2 + x * -2) 4 + 12x = (-10 + -2x) Solving 4 + 12x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 12x + 2x = -10 + -2x + 2x Combine like terms: 12x + 2x = 14x 4 + 14x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 14x = -10 + 0 4 + 14x = -10 Add '-4' to each side of the equation. 4 + -4 + 14x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = -10 + -4 14x = -10 + -4 Combine like terms: -10 + -4 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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