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Simplifying 6(x + 1) = 3x + -2 Reorder the terms: 6(1 + x) = 3x + -2 (1 * 6 + x * 6) = 3x + -2 (6 + 6x) = 3x + -2 Reorder the terms: 6 + 6x = -2 + 3x Solving 6 + 6x = -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. 6 + 6x + -3x = -2 + 3x + -3x Combine like terms: 6x + -3x = 3x 6 + 3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 3x = -2 + 0 6 + 3x = -2 Add '-6' to each side of the equation. 6 + -6 + 3x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -2 + -6 3x = -2 + -6 Combine like terms: -2 + -6 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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