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Simplifying 5x + 2 + -7x = 10x + 22 Reorder the terms: 2 + 5x + -7x = 10x + 22 Combine like terms: 5x + -7x = -2x 2 + -2x = 10x + 22 Reorder the terms: 2 + -2x = 22 + 10x Solving 2 + -2x = 22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + -2x + -10x = 22 + 10x + -10x Combine like terms: -2x + -10x = -12x 2 + -12x = 22 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -12x = 22 + 0 2 + -12x = 22 Add '-2' to each side of the equation. 2 + -2 + -12x = 22 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = 22 + -2 -12x = 22 + -2 Combine like terms: 22 + -2 = 20 -12x = 20 Divide each side by '-12'. x = -1.666666667 Simplifying x = -1.666666667
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