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Simplifying 2(5x + 8) = 2(4x + -1) Reorder the terms: 2(8 + 5x) = 2(4x + -1) (8 * 2 + 5x * 2) = 2(4x + -1) (16 + 10x) = 2(4x + -1) Reorder the terms: 16 + 10x = 2(-1 + 4x) 16 + 10x = (-1 * 2 + 4x * 2) 16 + 10x = (-2 + 8x) Solving 16 + 10x = -2 + 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. 16 + 10x + -8x = -2 + 8x + -8x Combine like terms: 10x + -8x = 2x 16 + 2x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + 2x = -2 + 0 16 + 2x = -2 Add '-16' to each side of the equation. 16 + -16 + 2x = -2 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = -2 + -16 2x = -2 + -16 Combine like terms: -2 + -16 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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