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Simplifying x + 17 + 4x = -21 + -4x + -31 Reorder the terms: 17 + x + 4x = -21 + -4x + -31 Combine like terms: x + 4x = 5x 17 + 5x = -21 + -4x + -31 Reorder the terms: 17 + 5x = -21 + -31 + -4x Combine like terms: -21 + -31 = -52 17 + 5x = -52 + -4x Solving 17 + 5x = -52 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 17 + 5x + 4x = -52 + -4x + 4x Combine like terms: 5x + 4x = 9x 17 + 9x = -52 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 9x = -52 + 0 17 + 9x = -52 Add '-17' to each side of the equation. 17 + -17 + 9x = -52 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = -52 + -17 9x = -52 + -17 Combine like terms: -52 + -17 = -69 9x = -69 Divide each side by '9'. x = -7.666666667 Simplifying x = -7.666666667
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