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Simplifying 3 + 2 + -1(x + 1) = 3x + -6 Reorder the terms: 3 + 2 + -1(1 + x) = 3x + -6 3 + 2 + (1 * -1 + x * -1) = 3x + -6 3 + 2 + (-1 + -1x) = 3x + -6 Combine like terms: 3 + 2 = 5 5 + -1 + -1x = 3x + -6 Combine like terms: 5 + -1 = 4 4 + -1x = 3x + -6 Reorder the terms: 4 + -1x = -6 + 3x Solving 4 + -1x = -6 + 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. 4 + -1x + -3x = -6 + 3x + -3x Combine like terms: -1x + -3x = -4x 4 + -4x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -4x = -6 + 0 4 + -4x = -6 Add '-4' to each side of the equation. 4 + -4 + -4x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -6 + -4 -4x = -6 + -4 Combine like terms: -6 + -4 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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