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Simplifying 6x + 38 = 13x + -22 Reorder the terms: 38 + 6x = 13x + -22 Reorder the terms: 38 + 6x = -22 + 13x Solving 38 + 6x = -22 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 38 + 6x + -13x = -22 + 13x + -13x Combine like terms: 6x + -13x = -7x 38 + -7x = -22 + 13x + -13x Combine like terms: 13x + -13x = 0 38 + -7x = -22 + 0 38 + -7x = -22 Add '-38' to each side of the equation. 38 + -38 + -7x = -22 + -38 Combine like terms: 38 + -38 = 0 0 + -7x = -22 + -38 -7x = -22 + -38 Combine like terms: -22 + -38 = -60 -7x = -60 Divide each side by '-7'. x = 8.571428571 Simplifying x = 8.571428571
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