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Simplifying 24 + 2x = -5x + 15 + -33 Reorder the terms: 24 + 2x = 15 + -33 + -5x Combine like terms: 15 + -33 = -18 24 + 2x = -18 + -5x Solving 24 + 2x = -18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 24 + 2x + 5x = -18 + -5x + 5x Combine like terms: 2x + 5x = 7x 24 + 7x = -18 + -5x + 5x Combine like terms: -5x + 5x = 0 24 + 7x = -18 + 0 24 + 7x = -18 Add '-24' to each side of the equation. 24 + -24 + 7x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = -18 + -24 7x = -18 + -24 Combine like terms: -18 + -24 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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