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Simplifying -114 = -6(3 + 2x) -114 = (3 * -6 + 2x * -6) -114 = (-18 + -12x) Solving -114 = -18 + -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. -114 + 12x = -18 + -12x + 12x Combine like terms: -12x + 12x = 0 -114 + 12x = -18 + 0 -114 + 12x = -18 Add '114' to each side of the equation. -114 + 114 + 12x = -18 + 114 Combine like terms: -114 + 114 = 0 0 + 12x = -18 + 114 12x = -18 + 114 Combine like terms: -18 + 114 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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