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Simplifying 3x + 2 + -1(x + 1) = 3x + -6 Reorder the terms: 3x + 2 + -1(1 + x) = 3x + -6 3x + 2 + (1 * -1 + x * -1) = 3x + -6 3x + 2 + (-1 + -1x) = 3x + -6 Reorder the terms: 2 + -1 + 3x + -1x = 3x + -6 Combine like terms: 2 + -1 = 1 1 + 3x + -1x = 3x + -6 Combine like terms: 3x + -1x = 2x 1 + 2x = 3x + -6 Reorder the terms: 1 + 2x = -6 + 3x Solving 1 + 2x = -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. 1 + 2x + -3x = -6 + 3x + -3x Combine like terms: 2x + -3x = -1x 1 + -1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -1x = -6 + 0 1 + -1x = -6 Add '-1' to each side of the equation. 1 + -1 + -1x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -6 + -1 -1x = -6 + -1 Combine like terms: -6 + -1 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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