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Simplifying 2x + -6 + 5x = 4x + -12 + 10x Reorder the terms: -6 + 2x + 5x = 4x + -12 + 10x Combine like terms: 2x + 5x = 7x -6 + 7x = 4x + -12 + 10x Reorder the terms: -6 + 7x = -12 + 4x + 10x Combine like terms: 4x + 10x = 14x -6 + 7x = -12 + 14x Solving -6 + 7x = -12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + 7x + -14x = -12 + 14x + -14x Combine like terms: 7x + -14x = -7x -6 + -7x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -7x = -12 + 0 -6 + -7x = -12 Add '6' to each side of the equation. -6 + 6 + -7x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -12 + 6 -7x = -12 + 6 Combine like terms: -12 + 6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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