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Simplifying 12x + 5 + -6x = 4x + -7 + 9 Reorder the terms: 5 + 12x + -6x = 4x + -7 + 9 Combine like terms: 12x + -6x = 6x 5 + 6x = 4x + -7 + 9 Reorder the terms: 5 + 6x = -7 + 9 + 4x Combine like terms: -7 + 9 = 2 5 + 6x = 2 + 4x Solving 5 + 6x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 6x + -4x = 2 + 4x + -4x Combine like terms: 6x + -4x = 2x 5 + 2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 2x = 2 + 0 5 + 2x = 2 Add '-5' to each side of the equation. 5 + -5 + 2x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 2 + -5 2x = 2 + -5 Combine like terms: 2 + -5 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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