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Simplifying 5x + -7x + 24 = 5x + 38 Reorder the terms: 24 + 5x + -7x = 5x + 38 Combine like terms: 5x + -7x = -2x 24 + -2x = 5x + 38 Reorder the terms: 24 + -2x = 38 + 5x Solving 24 + -2x = 38 + 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 = 38 + 5x + -5x Combine like terms: -2x + -5x = -7x 24 + -7x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -7x = 38 + 0 24 + -7x = 38 Add '-24' to each side of the equation. 24 + -24 + -7x = 38 + -24 Combine like terms: 24 + -24 = 0 0 + -7x = 38 + -24 -7x = 38 + -24 Combine like terms: 38 + -24 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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