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Simplifying -114 + 10x = -2x + 138 Reorder the terms: -114 + 10x = 138 + -2x Solving -114 + 10x = 138 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -114 + 10x + 2x = 138 + -2x + 2x Combine like terms: 10x + 2x = 12x -114 + 12x = 138 + -2x + 2x Combine like terms: -2x + 2x = 0 -114 + 12x = 138 + 0 -114 + 12x = 138 Add '114' to each side of the equation. -114 + 114 + 12x = 138 + 114 Combine like terms: -114 + 114 = 0 0 + 12x = 138 + 114 12x = 138 + 114 Combine like terms: 138 + 114 = 252 12x = 252 Divide each side by '12'. x = 21 Simplifying x = 21
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