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Simplifying -6x + 12 + 4x + 5 = 5x + 6 Reorder the terms: 12 + 5 + -6x + 4x = 5x + 6 Combine like terms: 12 + 5 = 17 17 + -6x + 4x = 5x + 6 Combine like terms: -6x + 4x = -2x 17 + -2x = 5x + 6 Reorder the terms: 17 + -2x = 6 + 5x Solving 17 + -2x = 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. 17 + -2x + -5x = 6 + 5x + -5x Combine like terms: -2x + -5x = -7x 17 + -7x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -7x = 6 + 0 17 + -7x = 6 Add '-17' to each side of the equation. 17 + -17 + -7x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 6 + -17 -7x = 6 + -17 Combine like terms: 6 + -17 = -11 -7x = -11 Divide each side by '-7'. x = 1.571428571 Simplifying x = 1.571428571
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