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Simplifying 2x + -1(x + 5) = 6 + -1(x + 1) Reorder the terms: 2x + -1(5 + x) = 6 + -1(x + 1) 2x + (5 * -1 + x * -1) = 6 + -1(x + 1) 2x + (-5 + -1x) = 6 + -1(x + 1) Reorder the terms: -5 + 2x + -1x = 6 + -1(x + 1) Combine like terms: 2x + -1x = 1x -5 + 1x = 6 + -1(x + 1) Reorder the terms: -5 + 1x = 6 + -1(1 + x) -5 + 1x = 6 + (1 * -1 + x * -1) -5 + 1x = 6 + (-1 + -1x) Combine like terms: 6 + -1 = 5 -5 + 1x = 5 + -1x Solving -5 + 1x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 1x + x = 5 + -1x + x Combine like terms: 1x + x = 2x -5 + 2x = 5 + -1x + x Combine like terms: -1x + x = 0 -5 + 2x = 5 + 0 -5 + 2x = 5 Add '5' to each side of the equation. -5 + 5 + 2x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 5 + 5 2x = 5 + 5 Combine like terms: 5 + 5 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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