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Simplifying -5(1 + -1x) + 2x = 6 + 5x (1 * -5 + -1x * -5) + 2x = 6 + 5x (-5 + 5x) + 2x = 6 + 5x Combine like terms: 5x + 2x = 7x -5 + 7x = 6 + 5x Solving -5 + 7x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 7x + -5x = 6 + 5x + -5x Combine like terms: 7x + -5x = 2x -5 + 2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 2x = 6 + 0 -5 + 2x = 6 Add '5' to each side of the equation. -5 + 5 + 2x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 6 + 5 2x = 6 + 5 Combine like terms: 6 + 5 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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