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Simplifying 8(1 + 2x) = 2(7x + 2) (1 * 8 + 2x * 8) = 2(7x + 2) (8 + 16x) = 2(7x + 2) Reorder the terms: 8 + 16x = 2(2 + 7x) 8 + 16x = (2 * 2 + 7x * 2) 8 + 16x = (4 + 14x) Solving 8 + 16x = 4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + 16x + -14x = 4 + 14x + -14x Combine like terms: 16x + -14x = 2x 8 + 2x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + 2x = 4 + 0 8 + 2x = 4 Add '-8' to each side of the equation. 8 + -8 + 2x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 4 + -8 2x = 4 + -8 Combine like terms: 4 + -8 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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