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Simplifying -14x + -46 = -12x + -1 + 3x Reorder the terms: -46 + -14x = -12x + -1 + 3x Reorder the terms: -46 + -14x = -1 + -12x + 3x Combine like terms: -12x + 3x = -9x -46 + -14x = -1 + -9x Solving -46 + -14x = -1 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -46 + -14x + 9x = -1 + -9x + 9x Combine like terms: -14x + 9x = -5x -46 + -5x = -1 + -9x + 9x Combine like terms: -9x + 9x = 0 -46 + -5x = -1 + 0 -46 + -5x = -1 Add '46' to each side of the equation. -46 + 46 + -5x = -1 + 46 Combine like terms: -46 + 46 = 0 0 + -5x = -1 + 46 -5x = -1 + 46 Combine like terms: -1 + 46 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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