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Simplifying 2x + -1(5 + -1x) = 2(2x + 1) 2x + (5 * -1 + -1x * -1) = 2(2x + 1) 2x + (-5 + 1x) = 2(2x + 1) Reorder the terms: -5 + 2x + 1x = 2(2x + 1) Combine like terms: 2x + 1x = 3x -5 + 3x = 2(2x + 1) Reorder the terms: -5 + 3x = 2(1 + 2x) -5 + 3x = (1 * 2 + 2x * 2) -5 + 3x = (2 + 4x) Solving -5 + 3x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 3x + -4x = 2 + 4x + -4x Combine like terms: 3x + -4x = -1x -5 + -1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -1x = 2 + 0 -5 + -1x = 2 Add '5' to each side of the equation. -5 + 5 + -1x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 2 + 5 -1x = 2 + 5 Combine like terms: 2 + 5 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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