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Simplifying x + 22 + 3x = -10 + -3x + -17 Reorder the terms: 22 + x + 3x = -10 + -3x + -17 Combine like terms: x + 3x = 4x 22 + 4x = -10 + -3x + -17 Reorder the terms: 22 + 4x = -10 + -17 + -3x Combine like terms: -10 + -17 = -27 22 + 4x = -27 + -3x Solving 22 + 4x = -27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 22 + 4x + 3x = -27 + -3x + 3x Combine like terms: 4x + 3x = 7x 22 + 7x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 22 + 7x = -27 + 0 22 + 7x = -27 Add '-22' to each side of the equation. 22 + -22 + 7x = -27 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = -27 + -22 7x = -27 + -22 Combine like terms: -27 + -22 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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