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Simplifying 6(x + 1) + -2 = 3x + -12 Reorder the terms: 6(1 + x) + -2 = 3x + -12 (1 * 6 + x * 6) + -2 = 3x + -12 (6 + 6x) + -2 = 3x + -12 Reorder the terms: 6 + -2 + 6x = 3x + -12 Combine like terms: 6 + -2 = 4 4 + 6x = 3x + -12 Reorder the terms: 4 + 6x = -12 + 3x Solving 4 + 6x = -12 + 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 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x 4 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 3x = -12 + 0 4 + 3x = -12 Add '-4' to each side of the equation. 4 + -4 + 3x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -12 + -4 3x = -12 + -4 Combine like terms: -12 + -4 = -16 3x = -16 Divide each side by '3'. x = -5.333333333 Simplifying x = -5.333333333
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