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Simplifying 4x + 22 = x + 17 + 10x + 40 Reorder the terms: 22 + 4x = x + 17 + 10x + 40 Reorder the terms: 22 + 4x = 17 + 40 + x + 10x Combine like terms: 17 + 40 = 57 22 + 4x = 57 + x + 10x Combine like terms: x + 10x = 11x 22 + 4x = 57 + 11x Solving 22 + 4x = 57 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 22 + 4x + -11x = 57 + 11x + -11x Combine like terms: 4x + -11x = -7x 22 + -7x = 57 + 11x + -11x Combine like terms: 11x + -11x = 0 22 + -7x = 57 + 0 22 + -7x = 57 Add '-22' to each side of the equation. 22 + -22 + -7x = 57 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = 57 + -22 -7x = 57 + -22 Combine like terms: 57 + -22 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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