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Simplifying -4 + -6x + 5 = 3x + 12 + 2x Reorder the terms: -4 + 5 + -6x = 3x + 12 + 2x Combine like terms: -4 + 5 = 1 1 + -6x = 3x + 12 + 2x Reorder the terms: 1 + -6x = 12 + 3x + 2x Combine like terms: 3x + 2x = 5x 1 + -6x = 12 + 5x Solving 1 + -6x = 12 + 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. 1 + -6x + -5x = 12 + 5x + -5x Combine like terms: -6x + -5x = -11x 1 + -11x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -11x = 12 + 0 1 + -11x = 12 Add '-1' to each side of the equation. 1 + -1 + -11x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = 12 + -1 -11x = 12 + -1 Combine like terms: 12 + -1 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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