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Simplifying 3x + 22 = 10x + -52 Reorder the terms: 22 + 3x = 10x + -52 Reorder the terms: 22 + 3x = -52 + 10x Solving 22 + 3x = -52 + 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. 22 + 3x + -10x = -52 + 10x + -10x Combine like terms: 3x + -10x = -7x 22 + -7x = -52 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -7x = -52 + 0 22 + -7x = -52 Add '-22' to each side of the equation. 22 + -22 + -7x = -52 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = -52 + -22 -7x = -52 + -22 Combine like terms: -52 + -22 = -74 -7x = -74 Divide each side by '-7'. x = 10.57142857 Simplifying x = 10.57142857
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