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Simplifying x + -67 = -14x + -10 + 12x Reorder the terms: -67 + x = -14x + -10 + 12x Reorder the terms: -67 + x = -10 + -14x + 12x Combine like terms: -14x + 12x = -2x -67 + x = -10 + -2x Solving -67 + x = -10 + -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. -67 + x + 2x = -10 + -2x + 2x Combine like terms: x + 2x = 3x -67 + 3x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -67 + 3x = -10 + 0 -67 + 3x = -10 Add '67' to each side of the equation. -67 + 67 + 3x = -10 + 67 Combine like terms: -67 + 67 = 0 0 + 3x = -10 + 67 3x = -10 + 67 Combine like terms: -10 + 67 = 57 3x = 57 Divide each side by '3'. x = 19 Simplifying x = 19
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