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Simplifying -114 = 3(4x + -6) Reorder the terms: -114 = 3(-6 + 4x) -114 = (-6 * 3 + 4x * 3) -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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