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Simplifying 8 + -2(5x + 5) = -2(1 + -4x) Reorder the terms: 8 + -2(5 + 5x) = -2(1 + -4x) 8 + (5 * -2 + 5x * -2) = -2(1 + -4x) 8 + (-10 + -10x) = -2(1 + -4x) Combine like terms: 8 + -10 = -2 -2 + -10x = -2(1 + -4x) -2 + -10x = (1 * -2 + -4x * -2) -2 + -10x = (-2 + 8x) Add '2' to each side of the equation. -2 + 2 + -10x = -2 + 2 + 8x Combine like terms: -2 + 2 = 0 0 + -10x = -2 + 2 + 8x -10x = -2 + 2 + 8x Combine like terms: -2 + 2 = 0 -10x = 0 + 8x -10x = 8x Solving -10x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10x + -8x = 8x + -8x Combine like terms: -10x + -8x = -18x -18x = 8x + -8x Combine like terms: 8x + -8x = 0 -18x = 0 Divide each side by '-18'. x = 0 Simplifying x = 0
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