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Simplifying x + 24 + 3x = -17 + -3x + -22 Reorder the terms: 24 + x + 3x = -17 + -3x + -22 Combine like terms: x + 3x = 4x 24 + 4x = -17 + -3x + -22 Reorder the terms: 24 + 4x = -17 + -22 + -3x Combine like terms: -17 + -22 = -39 24 + 4x = -39 + -3x Solving 24 + 4x = -39 + -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. 24 + 4x + 3x = -39 + -3x + 3x Combine like terms: 4x + 3x = 7x 24 + 7x = -39 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 7x = -39 + 0 24 + 7x = -39 Add '-24' to each side of the equation. 24 + -24 + 7x = -39 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = -39 + -24 7x = -39 + -24 Combine like terms: -39 + -24 = -63 7x = -63 Divide each side by '7'. x = -9 Simplifying x = -9
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