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Simplifying -10 + -5x = 7x + 22 Reorder the terms: -10 + -5x = 22 + 7x Solving -10 + -5x = 22 + 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. -10 + -5x + -7x = 22 + 7x + -7x Combine like terms: -5x + -7x = -12x -10 + -12x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -12x = 22 + 0 -10 + -12x = 22 Add '10' to each side of the equation. -10 + 10 + -12x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = 22 + 10 -12x = 22 + 10 Combine like terms: 22 + 10 = 32 -12x = 32 Divide each side by '-12'. x = -2.666666667 Simplifying x = -2.666666667
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