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Simplifying 8 + -1(3x + 2) = 3x + 12 Reorder the terms: 8 + -1(2 + 3x) = 3x + 12 8 + (2 * -1 + 3x * -1) = 3x + 12 8 + (-2 + -3x) = 3x + 12 Combine like terms: 8 + -2 = 6 6 + -3x = 3x + 12 Reorder the terms: 6 + -3x = 12 + 3x Solving 6 + -3x = 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. 6 + -3x + -3x = 12 + 3x + -3x Combine like terms: -3x + -3x = -6x 6 + -6x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -6x = 12 + 0 6 + -6x = 12 Add '-6' to each side of the equation. 6 + -6 + -6x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 12 + -6 -6x = 12 + -6 Combine like terms: 12 + -6 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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