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Simplifying 9x + 4x + -2 = 4x + 3x + 12 Reorder the terms: -2 + 9x + 4x = 4x + 3x + 12 Combine like terms: 9x + 4x = 13x -2 + 13x = 4x + 3x + 12 Reorder the terms: -2 + 13x = 12 + 4x + 3x Combine like terms: 4x + 3x = 7x -2 + 13x = 12 + 7x Solving -2 + 13x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 13x + -7x = 12 + 7x + -7x Combine like terms: 13x + -7x = 6x -2 + 6x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 6x = 12 + 0 -2 + 6x = 12 Add '2' to each side of the equation. -2 + 2 + 6x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 12 + 2 6x = 12 + 2 Combine like terms: 12 + 2 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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