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Simplifying 6 + -1(x + 1) = 3x + 2 Reorder the terms: 6 + -1(1 + x) = 3x + 2 6 + (1 * -1 + x * -1) = 3x + 2 6 + (-1 + -1x) = 3x + 2 Combine like terms: 6 + -1 = 5 5 + -1x = 3x + 2 Reorder the terms: 5 + -1x = 2 + 3x Solving 5 + -1x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + -1x + -3x = 2 + 3x + -3x Combine like terms: -1x + -3x = -4x 5 + -4x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -4x = 2 + 0 5 + -4x = 2 Add '-5' to each side of the equation. 5 + -5 + -4x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 2 + -5 -4x = 2 + -5 Combine like terms: 2 + -5 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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