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Simplifying -3x + 8 = 6 + -1(12x + 3) Reorder the terms: 8 + -3x = 6 + -1(12x + 3) Reorder the terms: 8 + -3x = 6 + -1(3 + 12x) 8 + -3x = 6 + (3 * -1 + 12x * -1) 8 + -3x = 6 + (-3 + -12x) Combine like terms: 6 + -3 = 3 8 + -3x = 3 + -12x Solving 8 + -3x = 3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + -3x + 12x = 3 + -12x + 12x Combine like terms: -3x + 12x = 9x 8 + 9x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 9x = 3 + 0 8 + 9x = 3 Add '-8' to each side of the equation. 8 + -8 + 9x = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 3 + -8 9x = 3 + -8 Combine like terms: 3 + -8 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556
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