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Simplifying 3x + -4 + 9x + -2 = 5x + 1 Reorder the terms: -4 + -2 + 3x + 9x = 5x + 1 Combine like terms: -4 + -2 = -6 -6 + 3x + 9x = 5x + 1 Combine like terms: 3x + 9x = 12x -6 + 12x = 5x + 1 Reorder the terms: -6 + 12x = 1 + 5x Solving -6 + 12x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 12x + -5x = 1 + 5x + -5x Combine like terms: 12x + -5x = 7x -6 + 7x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 7x = 1 + 0 -6 + 7x = 1 Add '6' to each side of the equation. -6 + 6 + 7x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 1 + 6 7x = 1 + 6 Combine like terms: 1 + 6 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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