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Simplifying x + -1(x + 5) = 6 + (x + 1) Reorder the terms: x + -1(5 + x) = 6 + (x + 1) x + (5 * -1 + x * -1) = 6 + (x + 1) x + (-5 + -1x) = 6 + (x + 1) Reorder the terms: -5 + x + -1x = 6 + (x + 1) Combine like terms: x + -1x = 0 -5 + 0 = 6 + (x + 1) -5 = 6 + (x + 1) Reorder the terms: -5 = 6 + (1 + x) Remove parenthesis around (1 + x) -5 = 6 + 1 + x Combine like terms: 6 + 1 = 7 -5 = 7 + x Solving -5 = 7 + x 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. -5 + -1x = 7 + x + -1x Combine like terms: x + -1x = 0 -5 + -1x = 7 + 0 -5 + -1x = 7 Add '5' to each side of the equation. -5 + 5 + -1x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 7 + 5 -1x = 7 + 5 Combine like terms: 7 + 5 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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