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Simplifying 1(x + -2) = 6 + -1(x + 1) Reorder the terms: 1(-2 + x) = 6 + -1(x + 1) (-2 * 1 + x * 1) = 6 + -1(x + 1) (-2 + 1x) = 6 + -1(x + 1) Reorder the terms: -2 + 1x = 6 + -1(1 + x) -2 + 1x = 6 + (1 * -1 + x * -1) -2 + 1x = 6 + (-1 + -1x) Combine like terms: 6 + -1 = 5 -2 + 1x = 5 + -1x Solving -2 + 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. -2 + 1x + x = 5 + -1x + x Combine like terms: 1x + x = 2x -2 + 2x = 5 + -1x + x Combine like terms: -1x + x = 0 -2 + 2x = 5 + 0 -2 + 2x = 5 Add '2' to each side of the equation. -2 + 2 + 2x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 5 + 2 2x = 5 + 2 Combine like terms: 5 + 2 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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