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Simplifying 2x + 15 = -5x + 64 Reorder the terms: 15 + 2x = -5x + 64 Reorder the terms: 15 + 2x = 64 + -5x Solving 15 + 2x = 64 + -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. 15 + 2x + 5x = 64 + -5x + 5x Combine like terms: 2x + 5x = 7x 15 + 7x = 64 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 7x = 64 + 0 15 + 7x = 64 Add '-15' to each side of the equation. 15 + -15 + 7x = 64 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 64 + -15 7x = 64 + -15 Combine like terms: 64 + -15 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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