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Simplifying 2(8x + 1) = -1(-2x + -10) Reorder the terms: 2(1 + 8x) = -1(-2x + -10) (1 * 2 + 8x * 2) = -1(-2x + -10) (2 + 16x) = -1(-2x + -10) Reorder the terms: 2 + 16x = -1(-10 + -2x) 2 + 16x = (-10 * -1 + -2x * -1) 2 + 16x = (10 + 2x) Solving 2 + 16x = 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. 2 + 16x + -2x = 10 + 2x + -2x Combine like terms: 16x + -2x = 14x 2 + 14x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 14x = 10 + 0 2 + 14x = 10 Add '-2' to each side of the equation. 2 + -2 + 14x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 10 + -2 14x = 10 + -2 Combine like terms: 10 + -2 = 8 14x = 8 Divide each side by '14'. x = 0.5714285714 Simplifying x = 0.5714285714
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