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Simplifying 2(8x + 4) = -2(-7x + -1) Reorder the terms: 2(4 + 8x) = -2(-7x + -1) (4 * 2 + 8x * 2) = -2(-7x + -1) (8 + 16x) = -2(-7x + -1) Reorder the terms: 8 + 16x = -2(-1 + -7x) 8 + 16x = (-1 * -2 + -7x * -2) 8 + 16x = (2 + 14x) Solving 8 + 16x = 2 + 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 = 2 + 14x + -14x Combine like terms: 16x + -14x = 2x 8 + 2x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + 2x = 2 + 0 8 + 2x = 2 Add '-8' to each side of the equation. 8 + -8 + 2x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 2 + -8 2x = 2 + -8 Combine like terms: 2 + -8 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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