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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 = 10x 4 + 10x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 10x = 10 + 0 4 + 10x = 10 Add '-4' to each side of the equation. 4 + -4 + 10x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 10 + -4 10x = 10 + -4 Combine like terms: 10 + -4 = 6 10x = 6 Divide each side by '10'. x = 0.6 Simplifying x = 0.6
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