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Simplifying 10x + 24 = -5x + 370 Reorder the terms: 24 + 10x = -5x + 370 Reorder the terms: 24 + 10x = 370 + -5x Solving 24 + 10x = 370 + -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 + 10x + 5x = 370 + -5x + 5x Combine like terms: 10x + 5x = 15x 24 + 15x = 370 + -5x + 5x Combine like terms: -5x + 5x = 0 24 + 15x = 370 + 0 24 + 15x = 370 Add '-24' to each side of the equation. 24 + -24 + 15x = 370 + -24 Combine like terms: 24 + -24 = 0 0 + 15x = 370 + -24 15x = 370 + -24 Combine like terms: 370 + -24 = 346 15x = 346 Divide each side by '15'. x = 23.06666667 Simplifying x = 23.06666667
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