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Simplifying -6x + 6 = -3(4x + 8) Reorder the terms: 6 + -6x = -3(4x + 8) Reorder the terms: 6 + -6x = -3(8 + 4x) 6 + -6x = (8 * -3 + 4x * -3) 6 + -6x = (-24 + -12x) Solving 6 + -6x = -24 + -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. 6 + -6x + 12x = -24 + -12x + 12x Combine like terms: -6x + 12x = 6x 6 + 6x = -24 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 6x = -24 + 0 6 + 6x = -24 Add '-6' to each side of the equation. 6 + -6 + 6x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -24 + -6 6x = -24 + -6 Combine like terms: -24 + -6 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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