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Simplifying 6 + -1(x + 1) = 2x + -1 Reorder the terms: 6 + -1(1 + x) = 2x + -1 6 + (1 * -1 + x * -1) = 2x + -1 6 + (-1 + -1x) = 2x + -1 Combine like terms: 6 + -1 = 5 5 + -1x = 2x + -1 Reorder the terms: 5 + -1x = -1 + 2x Solving 5 + -1x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -1x + -2x = -1 + 2x + -2x Combine like terms: -1x + -2x = -3x 5 + -3x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -3x = -1 + 0 5 + -3x = -1 Add '-5' to each side of the equation. 5 + -5 + -3x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -1 + -5 -3x = -1 + -5 Combine like terms: -1 + -5 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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