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Simplifying 3x + -34 = 12x + -74 Reorder the terms: -34 + 3x = 12x + -74 Reorder the terms: -34 + 3x = -74 + 12x Solving -34 + 3x = -74 + 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. -34 + 3x + -12x = -74 + 12x + -12x Combine like terms: 3x + -12x = -9x -34 + -9x = -74 + 12x + -12x Combine like terms: 12x + -12x = 0 -34 + -9x = -74 + 0 -34 + -9x = -74 Add '34' to each side of the equation. -34 + 34 + -9x = -74 + 34 Combine like terms: -34 + 34 = 0 0 + -9x = -74 + 34 -9x = -74 + 34 Combine like terms: -74 + 34 = -40 -9x = -40 Divide each side by '-9'. x = 4.444444444 Simplifying x = 4.444444444
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