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Simplifying x + 24 + 2x = -8 + -2x + -13 Reorder the terms: 24 + x + 2x = -8 + -2x + -13 Combine like terms: x + 2x = 3x 24 + 3x = -8 + -2x + -13 Reorder the terms: 24 + 3x = -8 + -13 + -2x Combine like terms: -8 + -13 = -21 24 + 3x = -21 + -2x Solving 24 + 3x = -21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 24 + 3x + 2x = -21 + -2x + 2x Combine like terms: 3x + 2x = 5x 24 + 5x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 5x = -21 + 0 24 + 5x = -21 Add '-24' to each side of the equation. 24 + -24 + 5x = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = -21 + -24 5x = -21 + -24 Combine like terms: -21 + -24 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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