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