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Simplifying 7x + 12 + 4x = 5x + 6 Reorder the terms: 12 + 7x + 4x = 5x + 6 Combine like terms: 7x + 4x = 11x 12 + 11x = 5x + 6 Reorder the terms: 12 + 11x = 6 + 5x Solving 12 + 11x = 6 + 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. 12 + 11x + -5x = 6 + 5x + -5x Combine like terms: 11x + -5x = 6x 12 + 6x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 6x = 6 + 0 12 + 6x = 6 Add '-12' to each side of the equation. 12 + -12 + 6x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 6 + -12 6x = 6 + -12 Combine like terms: 6 + -12 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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