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Simplifying 3x + -1 = 12x + -46 Reorder the terms: -1 + 3x = 12x + -46 Reorder the terms: -1 + 3x = -46 + 12x Solving -1 + 3x = -46 + 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. -1 + 3x + -12x = -46 + 12x + -12x Combine like terms: 3x + -12x = -9x -1 + -9x = -46 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -9x = -46 + 0 -1 + -9x = -46 Add '1' to each side of the equation. -1 + 1 + -9x = -46 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = -46 + 1 -9x = -46 + 1 Combine like terms: -46 + 1 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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