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Simplifying -6x + 28 = 5x + -12 Reorder the terms: 28 + -6x = 5x + -12 Reorder the terms: 28 + -6x = -12 + 5x Solving 28 + -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. 28 + -6x + -5x = -12 + 5x + -5x Combine like terms: -6x + -5x = -11x 28 + -11x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + -11x = -12 + 0 28 + -11x = -12 Add '-28' to each side of the equation. 28 + -28 + -11x = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -11x = -12 + -28 -11x = -12 + -28 Combine like terms: -12 + -28 = -40 -11x = -40 Divide each side by '-11'. x = 3.636363636 Simplifying x = 3.636363636
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