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Simplifying 0.5x + -6 = 10 + 7x Reorder the terms: -6 + 0.5x = 10 + 7x Solving -6 + 0.5x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 0.5x + -7x = 10 + 7x + -7x Combine like terms: 0.5x + -7x = -6.5x -6 + -6.5x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -6.5x = 10 + 0 -6 + -6.5x = 10 Add '6' to each side of the equation. -6 + 6 + -6.5x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -6.5x = 10 + 6 -6.5x = 10 + 6 Combine like terms: 10 + 6 = 16 -6.5x = 16 Divide each side by '-6.5'. x = -2.461538462 Simplifying x = -2.461538462
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