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Simplifying 5(2x + -1) = 2(4x + 1) Reorder the terms: 5(-1 + 2x) = 2(4x + 1) (-1 * 5 + 2x * 5) = 2(4x + 1) (-5 + 10x) = 2(4x + 1) Reorder the terms: -5 + 10x = 2(1 + 4x) -5 + 10x = (1 * 2 + 4x * 2) -5 + 10x = (2 + 8x) Solving -5 + 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. -5 + 10x + -8x = 2 + 8x + -8x Combine like terms: 10x + -8x = 2x -5 + 2x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 2x = 2 + 0 -5 + 2x = 2 Add '5' to each side of the equation. -5 + 5 + 2x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 2 + 5 2x = 2 + 5 Combine like terms: 2 + 5 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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