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Simplifying 5x + -12x + 22 = x + 13x + -52 Reorder the terms: 22 + 5x + -12x = x + 13x + -52 Combine like terms: 5x + -12x = -7x 22 + -7x = x + 13x + -52 Reorder the terms: 22 + -7x = -52 + x + 13x Combine like terms: x + 13x = 14x 22 + -7x = -52 + 14x Solving 22 + -7x = -52 + 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. 22 + -7x + -14x = -52 + 14x + -14x Combine like terms: -7x + -14x = -21x 22 + -21x = -52 + 14x + -14x Combine like terms: 14x + -14x = 0 22 + -21x = -52 + 0 22 + -21x = -52 Add '-22' to each side of the equation. 22 + -22 + -21x = -52 + -22 Combine like terms: 22 + -22 = 0 0 + -21x = -52 + -22 -21x = -52 + -22 Combine like terms: -52 + -22 = -74 -21x = -74 Divide each side by '-21'. x = 3.523809524 Simplifying x = 3.523809524
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