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Simplifying 4x + 2x + 2 = 12x + -9 Reorder the terms: 2 + 4x + 2x = 12x + -9 Combine like terms: 4x + 2x = 6x 2 + 6x = 12x + -9 Reorder the terms: 2 + 6x = -9 + 12x Solving 2 + 6x = -9 + 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. 2 + 6x + -12x = -9 + 12x + -12x Combine like terms: 6x + -12x = -6x 2 + -6x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -6x = -9 + 0 2 + -6x = -9 Add '-2' to each side of the equation. 2 + -2 + -6x = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -9 + -2 -6x = -9 + -2 Combine like terms: -9 + -2 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333
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