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Simplifying x + -114 = 120 + -12x Reorder the terms: -114 + x = 120 + -12x Solving -114 + x = 120 + -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 + x + 12x = 120 + -12x + 12x Combine like terms: x + 12x = 13x -114 + 13x = 120 + -12x + 12x Combine like terms: -12x + 12x = 0 -114 + 13x = 120 + 0 -114 + 13x = 120 Add '114' to each side of the equation. -114 + 114 + 13x = 120 + 114 Combine like terms: -114 + 114 = 0 0 + 13x = 120 + 114 13x = 120 + 114 Combine like terms: 120 + 114 = 234 13x = 234 Divide each side by '13'. x = 18 Simplifying x = 18
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