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Simplifying 10 + 2x + 5 = 45 + -3x Reorder the terms: 10 + 5 + 2x = 45 + -3x Combine like terms: 10 + 5 = 15 15 + 2x = 45 + -3x Solving 15 + 2x = 45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 15 + 2x + 3x = 45 + -3x + 3x Combine like terms: 2x + 3x = 5x 15 + 5x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 5x = 45 + 0 15 + 5x = 45 Add '-15' to each side of the equation. 15 + -15 + 5x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 45 + -15 5x = 45 + -15 Combine like terms: 45 + -15 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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